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Finding the Fourth Proportional to 3,152.64, 4,729.14 and 961.52

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Solution

The fourth proportional to 3,152.64, 4,729.14 and 961.52 is: 1,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.64 : 4,729.14 = 961.52 : x
  2. Step 2: Convert to fraction form
    3,152.64/4,729.14 = 961.52/x
  3. Step 3: Cross multiply
    3,152.64x = 4,729.14 × 961.52
  4. Step 4: Simplify right side
    3,152.64x = 4,547,162.69
  5. Step 5: Solve for x
    x = 4,547,162.69/3,152.64
  6. Step 6: Final answer
    x = 1,442.33

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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.