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Finding the Fourth Proportional to 2,024.24, 3,036.72 and 725.40

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Solution

The fourth proportional to 2,024.24, 3,036.72 and 725.40 is: 1,088.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.24 : 3,036.72 = 725.40 : x
  2. Step 2: Convert to fraction form
    2,024.24/3,036.72 = 725.40/x
  3. Step 3: Cross multiply
    2,024.24x = 3,036.72 × 725.40
  4. Step 4: Simplify right side
    2,024.24x = 2,202,836.69
  5. Step 5: Solve for x
    x = 2,202,836.69/2,024.24
  6. Step 6: Final answer
    x = 1,088.23

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