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Finding the Fourth Proportional to 3,153.16, 4,729.74 and 961.84

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Solution

The fourth proportional to 3,153.16, 4,729.74 and 961.84 is: 1,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.16 : 4,729.74 = 961.84 : x
  2. Step 2: Convert to fraction form
    3,153.16/4,729.74 = 961.84/x
  3. Step 3: Cross multiply
    3,153.16x = 4,729.74 × 961.84
  4. Step 4: Simplify right side
    3,153.16x = 4,549,253.12
  5. Step 5: Solve for x
    x = 4,549,253.12/3,153.16
  6. Step 6: Final answer
    x = 1,442.76

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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.