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Finding the Fourth Proportional to 2,227.64, 3,342.18 and 929.24

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Solution

The fourth proportional to 2,227.64, 3,342.18 and 929.24 is: 1,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.64 : 3,342.18 = 929.24 : x
  2. Step 2: Convert to fraction form
    2,227.64/3,342.18 = 929.24/x
  3. Step 3: Cross multiply
    2,227.64x = 3,342.18 × 929.24
  4. Step 4: Simplify right side
    2,227.64x = 3,105,687.34
  5. Step 5: Solve for x
    x = 3,105,687.34/2,227.64
  6. Step 6: Final answer
    x = 1,394.16

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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.