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Finding the Fourth Proportional to 2,671.32, 4,007.31 and 916.65

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Solution

The fourth proportional to 2,671.32, 4,007.31 and 916.65 is: 1,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.32 : 4,007.31 = 916.65 : x
  2. Step 2: Convert to fraction form
    2,671.32/4,007.31 = 916.65/x
  3. Step 3: Cross multiply
    2,671.32x = 4,007.31 × 916.65
  4. Step 4: Simplify right side
    2,671.32x = 3,673,300.71
  5. Step 5: Solve for x
    x = 3,673,300.71/2,671.32
  6. Step 6: Final answer
    x = 1,375.09

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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.