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Finding the Fourth Proportional to 3,153.04, 4,730.10 and 961.24

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Solution

The fourth proportional to 3,153.04, 4,730.10 and 961.24 is: 1,442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.04 : 4,730.10 = 961.24 : x
  2. Step 2: Convert to fraction form
    3,153.04/4,730.10 = 961.24/x
  3. Step 3: Cross multiply
    3,153.04x = 4,730.10 × 961.24
  4. Step 4: Simplify right side
    3,153.04x = 4,546,761.32
  5. Step 5: Solve for x
    x = 4,546,761.32/3,153.04
  6. Step 6: Final answer
    x = 1,442.02

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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.