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Finding the Fourth Proportional to 3,232.78, 4,849.17 and 924.28

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Solution

The fourth proportional to 3,232.78, 4,849.17 and 924.28 is: 1,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.78 : 4,849.17 = 924.28 : x
  2. Step 2: Convert to fraction form
    3,232.78/4,849.17 = 924.28/x
  3. Step 3: Cross multiply
    3,232.78x = 4,849.17 × 924.28
  4. Step 4: Simplify right side
    3,232.78x = 4,481,990.85
  5. Step 5: Solve for x
    x = 4,481,990.85/3,232.78
  6. Step 6: Final answer
    x = 1,386.42

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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.