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Finding the Fourth Proportional to 2,560.32, 3,839.46 and 916.56

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Solution

The fourth proportional to 2,560.32, 3,839.46 and 916.56 is: 1,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.32 : 3,839.46 = 916.56 : x
  2. Step 2: Convert to fraction form
    2,560.32/3,839.46 = 916.56/x
  3. Step 3: Cross multiply
    2,560.32x = 3,839.46 × 916.56
  4. Step 4: Simplify right side
    2,560.32x = 3,519,095.46
  5. Step 5: Solve for x
    x = 3,519,095.46/2,560.32
  6. Step 6: Final answer
    x = 1,374.47

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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.