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Finding the Fourth Proportional to 2,932, 4,046.18 and 2,186.62

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Solution

The fourth proportional to 2,932, 4,046.18 and 2,186.62 is: 3,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932 : 4,046.18 = 2,186.62 : x
  2. Step 2: Convert to fraction form
    2,932/4,046.18 = 2,186.62/x
  3. Step 3: Cross multiply
    2,932x = 4,046.18 × 2,186.62
  4. Step 4: Simplify right side
    2,932x = 8,847,458.11
  5. Step 5: Solve for x
    x = 8,847,458.11/2,932
  6. Step 6: Final answer
    x = 3,017.55

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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.