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Finding the Fourth Proportional to 3,114.76, 4,292.46 and 2,229.02

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Solution

The fourth proportional to 3,114.76, 4,292.46 and 2,229.02 is: 3,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.76 : 4,292.46 = 2,229.02 : x
  2. Step 2: Convert to fraction form
    3,114.76/4,292.46 = 2,229.02/x
  3. Step 3: Cross multiply
    3,114.76x = 4,292.46 × 2,229.02
  4. Step 4: Simplify right side
    3,114.76x = 9,567,979.19
  5. Step 5: Solve for x
    x = 9,567,979.19/3,114.76
  6. Step 6: Final answer
    x = 3,071.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.