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Finding the Fourth Proportional to 2,024.40, 2,838 and 2,024.40

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Solution

The fourth proportional to 2,024.40, 2,838 and 2,024.40 is: 2,838

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.40 : 2,838 = 2,024.40 : x
  2. Step 2: Convert to fraction form
    2,024.40/2,838 = 2,024.40/x
  3. Step 3: Cross multiply
    2,024.40x = 2,838 × 2,024.40
  4. Step 4: Simplify right side
    2,024.40x = 5,745,247.20
  5. Step 5: Solve for x
    x = 5,745,247.20/2,024.40
  6. Step 6: Final answer
    x = 2,838

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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.