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Finding the Fourth Proportional to 2,502.47, 3,753.12 and 942.63

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Solution

The fourth proportional to 2,502.47, 3,753.12 and 942.63 is: 1,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.47 : 3,753.12 = 942.63 : x
  2. Step 2: Convert to fraction form
    2,502.47/3,753.12 = 942.63/x
  3. Step 3: Cross multiply
    2,502.47x = 3,753.12 × 942.63
  4. Step 4: Simplify right side
    2,502.47x = 3,537,805.86
  5. Step 5: Solve for x
    x = 3,537,805.86/2,502.47
  6. Step 6: Final answer
    x = 1,413.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.