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Finding the Fourth Proportional to 2,318.07, 3,477.75 and 932.38

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Solution

The fourth proportional to 2,318.07, 3,477.75 and 932.38 is: 1,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.07 : 3,477.75 = 932.38 : x
  2. Step 2: Convert to fraction form
    2,318.07/3,477.75 = 932.38/x
  3. Step 3: Cross multiply
    2,318.07x = 3,477.75 × 932.38
  4. Step 4: Simplify right side
    2,318.07x = 3,242,584.55
  5. Step 5: Solve for x
    x = 3,242,584.55/2,318.07
  6. Step 6: Final answer
    x = 1,398.83

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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.