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Finding the Fourth Proportional to 3,152.55, 4,729.51 and 961.22

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Solution

The fourth proportional to 3,152.55, 4,729.51 and 961.22 is: 1,442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.55 : 4,729.51 = 961.22 : x
  2. Step 2: Convert to fraction form
    3,152.55/4,729.51 = 961.22/x
  3. Step 3: Cross multiply
    3,152.55x = 4,729.51 × 961.22
  4. Step 4: Simplify right side
    3,152.55x = 4,546,099.60
  5. Step 5: Solve for x
    x = 4,546,099.60/3,152.55
  6. Step 6: Final answer
    x = 1,442.04

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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.