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Finding the Fourth Proportional to 3,012.13, 4,518.62 and 932.31

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Solution

The fourth proportional to 3,012.13, 4,518.62 and 932.31 is: 1,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.13 : 4,518.62 = 932.31 : x
  2. Step 2: Convert to fraction form
    3,012.13/4,518.62 = 932.31/x
  3. Step 3: Cross multiply
    3,012.13x = 4,518.62 × 932.31
  4. Step 4: Simplify right side
    3,012.13x = 4,212,754.61
  5. Step 5: Solve for x
    x = 4,212,754.61/3,012.13
  6. Step 6: Final answer
    x = 1,398.60

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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.