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Finding the Fourth Proportional to 2,086.88, 3,129.57 and 916.54

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Solution

The fourth proportional to 2,086.88, 3,129.57 and 916.54 is: 1,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.88 : 3,129.57 = 916.54 : x
  2. Step 2: Convert to fraction form
    2,086.88/3,129.57 = 916.54/x
  3. Step 3: Cross multiply
    2,086.88x = 3,129.57 × 916.54
  4. Step 4: Simplify right side
    2,086.88x = 2,868,368.26
  5. Step 5: Solve for x
    x = 2,868,368.26/2,086.88
  6. Step 6: Final answer
    x = 1,374.48

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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.