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Finding the Fourth Proportional to 2,111.32, 3,167.70 and 942.13

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Solution

The fourth proportional to 2,111.32, 3,167.70 and 942.13 is: 1,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.32 : 3,167.70 = 942.13 : x
  2. Step 2: Convert to fraction form
    2,111.32/3,167.70 = 942.13/x
  3. Step 3: Cross multiply
    2,111.32x = 3,167.70 × 942.13
  4. Step 4: Simplify right side
    2,111.32x = 2,984,385.20
  5. Step 5: Solve for x
    x = 2,984,385.20/2,111.32
  6. Step 6: Final answer
    x = 1,413.52

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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.