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Finding the Fourth Proportional to 2,016.50, 3,024.81 and 555.75

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Solution

The fourth proportional to 2,016.50, 3,024.81 and 555.75 is: 833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.50 : 3,024.81 = 555.75 : x
  2. Step 2: Convert to fraction form
    2,016.50/3,024.81 = 555.75/x
  3. Step 3: Cross multiply
    2,016.50x = 3,024.81 × 555.75
  4. Step 4: Simplify right side
    2,016.50x = 1,681,038.16
  5. Step 5: Solve for x
    x = 1,681,038.16/2,016.50
  6. Step 6: Final answer
    x = 833.64

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.