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Finding the Fourth Proportional to 2,087.46, 3,132.04 and 916.86

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Solution

The fourth proportional to 2,087.46, 3,132.04 and 916.86 is: 1,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.46 : 3,132.04 = 916.86 : x
  2. Step 2: Convert to fraction form
    2,087.46/3,132.04 = 916.86/x
  3. Step 3: Cross multiply
    2,087.46x = 3,132.04 × 916.86
  4. Step 4: Simplify right side
    2,087.46x = 2,871,642.19
  5. Step 5: Solve for x
    x = 2,871,642.19/2,087.46
  6. Step 6: Final answer
    x = 1,375.66

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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.