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Finding the Fourth Proportional to 3,176.40, 4,765.06 and 985.31

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Solution

The fourth proportional to 3,176.40, 4,765.06 and 985.31 is: 1,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.40 : 4,765.06 = 985.31 : x
  2. Step 2: Convert to fraction form
    3,176.40/4,765.06 = 985.31/x
  3. Step 3: Cross multiply
    3,176.40x = 4,765.06 × 985.31
  4. Step 4: Simplify right side
    3,176.40x = 4,695,037.44
  5. Step 5: Solve for x
    x = 4,695,037.44/3,176.40
  6. Step 6: Final answer
    x = 1,478.10

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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.