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Finding the Fourth Proportional to 3,152.48, 4,729.40 and 961.38

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Solution

The fourth proportional to 3,152.48, 4,729.40 and 961.38 is: 1,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.48 : 4,729.40 = 961.38 : x
  2. Step 2: Convert to fraction form
    3,152.48/4,729.40 = 961.38/x
  3. Step 3: Cross multiply
    3,152.48x = 4,729.40 × 961.38
  4. Step 4: Simplify right side
    3,152.48x = 4,546,750.57
  5. Step 5: Solve for x
    x = 4,546,750.57/3,152.48
  6. Step 6: Final answer
    x = 1,442.28

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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.