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Finding the Fourth Proportional to 3,042.87, 4,562.67 and 934.12

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Solution

The fourth proportional to 3,042.87, 4,562.67 and 934.12 is: 1,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.87 : 4,562.67 = 934.12 : x
  2. Step 2: Convert to fraction form
    3,042.87/4,562.67 = 934.12/x
  3. Step 3: Cross multiply
    3,042.87x = 4,562.67 × 934.12
  4. Step 4: Simplify right side
    3,042.87x = 4,262,081.30
  5. Step 5: Solve for x
    x = 4,262,081.30/3,042.87
  6. Step 6: Final answer
    x = 1,400.68

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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.