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Finding the Fourth Proportional to 2,373.17, 3,559.42 and 707.25

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Solution

The fourth proportional to 2,373.17, 3,559.42 and 707.25 is: 1,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.17 : 3,559.42 = 707.25 : x
  2. Step 2: Convert to fraction form
    2,373.17/3,559.42 = 707.25/x
  3. Step 3: Cross multiply
    2,373.17x = 3,559.42 × 707.25
  4. Step 4: Simplify right side
    2,373.17x = 2,517,398.03
  5. Step 5: Solve for x
    x = 2,517,398.03/2,373.17
  6. Step 6: Final answer
    x = 1,060.78

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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.