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Finding the Fourth Proportional to 2,330.27, 3,494.05 and 942.47

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Solution

The fourth proportional to 2,330.27, 3,494.05 and 942.47 is: 1,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.27 : 3,494.05 = 942.47 : x
  2. Step 2: Convert to fraction form
    2,330.27/3,494.05 = 942.47/x
  3. Step 3: Cross multiply
    2,330.27x = 3,494.05 × 942.47
  4. Step 4: Simplify right side
    2,330.27x = 3,293,037.30
  5. Step 5: Solve for x
    x = 3,293,037.30/2,330.27
  6. Step 6: Final answer
    x = 1,413.16

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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.