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Finding the Fourth Proportional to 2,318.52, 3,473.87 and 1,146.96

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Solution

The fourth proportional to 2,318.52, 3,473.87 and 1,146.96 is: 1,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.52 : 3,473.87 = 1,146.96 : x
  2. Step 2: Convert to fraction form
    2,318.52/3,473.87 = 1,146.96/x
  3. Step 3: Cross multiply
    2,318.52x = 3,473.87 × 1,146.96
  4. Step 4: Simplify right side
    2,318.52x = 3,984,389.94
  5. Step 5: Solve for x
    x = 3,984,389.94/2,318.52
  6. Step 6: Final answer
    x = 1,718.51

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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.