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Finding the Fourth Proportional to 3,042.75, 4,562.21 and 1,397.18

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Solution

The fourth proportional to 3,042.75, 4,562.21 and 1,397.18 is: 2,094.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.75 : 4,562.21 = 1,397.18 : x
  2. Step 2: Convert to fraction form
    3,042.75/4,562.21 = 1,397.18/x
  3. Step 3: Cross multiply
    3,042.75x = 4,562.21 × 1,397.18
  4. Step 4: Simplify right side
    3,042.75x = 6,374,228.57
  5. Step 5: Solve for x
    x = 6,374,228.57/3,042.75
  6. Step 6: Final answer
    x = 2,094.89

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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.