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Finding the Fourth Proportional to 3,176.52, 4,765.56 and 985.20

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Solution

The fourth proportional to 3,176.52, 4,765.56 and 985.20 is: 1,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.52 : 4,765.56 = 985.20 : x
  2. Step 2: Convert to fraction form
    3,176.52/4,765.56 = 985.20/x
  3. Step 3: Cross multiply
    3,176.52x = 4,765.56 × 985.20
  4. Step 4: Simplify right side
    3,176.52x = 4,695,029.71
  5. Step 5: Solve for x
    x = 4,695,029.71/3,176.52
  6. Step 6: Final answer
    x = 1,478.04

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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.