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Finding the Fourth Proportional to 2,671.32, 4,007.61 and 916.41

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Solution

The fourth proportional to 2,671.32, 4,007.61 and 916.41 is: 1,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.32 : 4,007.61 = 916.41 : x
  2. Step 2: Convert to fraction form
    2,671.32/4,007.61 = 916.41/x
  3. Step 3: Cross multiply
    2,671.32x = 4,007.61 × 916.41
  4. Step 4: Simplify right side
    2,671.32x = 3,672,613.88
  5. Step 5: Solve for x
    x = 3,672,613.88/2,671.32
  6. Step 6: Final answer
    x = 1,374.83

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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.