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Finding the Fourth Proportional to 2,024.20, 2,827.40 and 2,024.20

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Solution

The fourth proportional to 2,024.20, 2,827.40 and 2,024.20 is: 2,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.20 : 2,827.40 = 2,024.20 : x
  2. Step 2: Convert to fraction form
    2,024.20/2,827.40 = 2,024.20/x
  3. Step 3: Cross multiply
    2,024.20x = 2,827.40 × 2,024.20
  4. Step 4: Simplify right side
    2,024.20x = 5,723,223.08
  5. Step 5: Solve for x
    x = 5,723,223.08/2,024.20
  6. Step 6: Final answer
    x = 2,827.40

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.