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Finding the Fourth Proportional to 3,153.10, 4,729.63 and 961.82

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Solution

The fourth proportional to 3,153.10, 4,729.63 and 961.82 is: 1,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.10 : 4,729.63 = 961.82 : x
  2. Step 2: Convert to fraction form
    3,153.10/4,729.63 = 961.82/x
  3. Step 3: Cross multiply
    3,153.10x = 4,729.63 × 961.82
  4. Step 4: Simplify right side
    3,153.10x = 4,549,042.10
  5. Step 5: Solve for x
    x = 4,549,042.10/3,153.10
  6. Step 6: Final answer
    x = 1,442.72

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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.