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Finding the Fourth Proportional to 2,456.70, 3,685.59 and 725.28

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Solution

The fourth proportional to 2,456.70, 3,685.59 and 725.28 is: 1,088.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.70 : 3,685.59 = 725.28 : x
  2. Step 2: Convert to fraction form
    2,456.70/3,685.59 = 725.28/x
  3. Step 3: Cross multiply
    2,456.70x = 3,685.59 × 725.28
  4. Step 4: Simplify right side
    2,456.70x = 2,673,084.72
  5. Step 5: Solve for x
    x = 2,673,084.72/2,456.70
  6. Step 6: Final answer
    x = 1,088.08

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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.