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Finding the Fourth Proportional to 2,456.35, 3,685.07 and 724.93

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Solution

The fourth proportional to 2,456.35, 3,685.07 and 724.93 is: 1,087.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.35 : 3,685.07 = 724.93 : x
  2. Step 2: Convert to fraction form
    2,456.35/3,685.07 = 724.93/x
  3. Step 3: Cross multiply
    2,456.35x = 3,685.07 × 724.93
  4. Step 4: Simplify right side
    2,456.35x = 2,671,417.80
  5. Step 5: Solve for x
    x = 2,671,417.80/2,456.35
  6. Step 6: Final answer
    x = 1,087.56

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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.