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Finding the Fourth Proportional to 3,153.20, 4,729.46 and 963.45

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Solution

The fourth proportional to 3,153.20, 4,729.46 and 963.45 is: 1,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.20 : 4,729.46 = 963.45 : x
  2. Step 2: Convert to fraction form
    3,153.20/4,729.46 = 963.45/x
  3. Step 3: Cross multiply
    3,153.20x = 4,729.46 × 963.45
  4. Step 4: Simplify right side
    3,153.20x = 4,556,593.42
  5. Step 5: Solve for x
    x = 4,556,593.42/3,153.20
  6. Step 6: Final answer
    x = 1,445.07

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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.