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Finding the Fourth Proportional to 2,655.18, 3,982.65 and 707.39

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Solution

The fourth proportional to 2,655.18, 3,982.65 and 707.39 is: 1,061.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.18 : 3,982.65 = 707.39 : x
  2. Step 2: Convert to fraction form
    2,655.18/3,982.65 = 707.39/x
  3. Step 3: Cross multiply
    2,655.18x = 3,982.65 × 707.39
  4. Step 4: Simplify right side
    2,655.18x = 2,817,286.78
  5. Step 5: Solve for x
    x = 2,817,286.78/2,655.18
  6. Step 6: Final answer
    x = 1,061.05

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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.