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Finding the Fourth Proportional to 2,402.47, 3,605.73 and 942.65

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Solution

The fourth proportional to 2,402.47, 3,605.73 and 942.65 is: 1,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.47 : 3,605.73 = 942.65 : x
  2. Step 2: Convert to fraction form
    2,402.47/3,605.73 = 942.65/x
  3. Step 3: Cross multiply
    2,402.47x = 3,605.73 × 942.65
  4. Step 4: Simplify right side
    2,402.47x = 3,398,941.38
  5. Step 5: Solve for x
    x = 3,398,941.38/2,402.47
  6. Step 6: Final answer
    x = 1,414.77

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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.