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Finding the Fourth Proportional to 3,153.16, 4,730.43 and 961.83

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Solution

The fourth proportional to 3,153.16, 4,730.43 and 961.83 is: 1,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.16 : 4,730.43 = 961.83 : x
  2. Step 2: Convert to fraction form
    3,153.16/4,730.43 = 961.83/x
  3. Step 3: Cross multiply
    3,153.16x = 4,730.43 × 961.83
  4. Step 4: Simplify right side
    3,153.16x = 4,549,869.49
  5. Step 5: Solve for x
    x = 4,549,869.49/3,153.16
  6. Step 6: Final answer
    x = 1,442.96

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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.