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Finding the Fourth Proportional to 2,377.53, 3,566.43 and 916.47

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Solution

The fourth proportional to 2,377.53, 3,566.43 and 916.47 is: 1,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.53 : 3,566.43 = 916.47 : x
  2. Step 2: Convert to fraction form
    2,377.53/3,566.43 = 916.47/x
  3. Step 3: Cross multiply
    2,377.53x = 3,566.43 × 916.47
  4. Step 4: Simplify right side
    2,377.53x = 3,268,526.10
  5. Step 5: Solve for x
    x = 3,268,526.10/2,377.53
  6. Step 6: Final answer
    x = 1,374.76

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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.