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Finding the Fourth Proportional to 2,901.39, 4,352.18 and 710.12

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Solution

The fourth proportional to 2,901.39, 4,352.18 and 710.12 is: 1,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.39 : 4,352.18 = 710.12 : x
  2. Step 2: Convert to fraction form
    2,901.39/4,352.18 = 710.12/x
  3. Step 3: Cross multiply
    2,901.39x = 4,352.18 × 710.12
  4. Step 4: Simplify right side
    2,901.39x = 3,090,572.27
  5. Step 5: Solve for x
    x = 3,090,572.27/2,901.39
  6. Step 6: Final answer
    x = 1,065.20

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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.