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Finding the Fourth Proportional to 2,671.74, 4,008.35 and 916.97

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Solution

The fourth proportional to 2,671.74, 4,008.35 and 916.97 is: 1,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.74 : 4,008.35 = 916.97 : x
  2. Step 2: Convert to fraction form
    2,671.74/4,008.35 = 916.97/x
  3. Step 3: Cross multiply
    2,671.74x = 4,008.35 × 916.97
  4. Step 4: Simplify right side
    2,671.74x = 3,675,518.95
  5. Step 5: Solve for x
    x = 3,675,518.95/2,671.74
  6. Step 6: Final answer
    x = 1,375.70

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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.