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Finding the Fourth Proportional to 2,932.60, 4,390.50 and 2,242.20

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Solution

The fourth proportional to 2,932.60, 4,390.50 and 2,242.20 is: 3,356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.60 : 4,390.50 = 2,242.20 : x
  2. Step 2: Convert to fraction form
    2,932.60/4,390.50 = 2,242.20/x
  3. Step 3: Cross multiply
    2,932.60x = 4,390.50 × 2,242.20
  4. Step 4: Simplify right side
    2,932.60x = 9,844,379.10
  5. Step 5: Solve for x
    x = 9,844,379.10/2,932.60
  6. Step 6: Final answer
    x = 3,356.88

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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.