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Finding the Fourth Proportional to 3,177.02, 4,765.89 and 986.30

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Solution

The fourth proportional to 3,177.02, 4,765.89 and 986.30 is: 1,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.02 : 4,765.89 = 986.30 : x
  2. Step 2: Convert to fraction form
    3,177.02/4,765.89 = 986.30/x
  3. Step 3: Cross multiply
    3,177.02x = 4,765.89 × 986.30
  4. Step 4: Simplify right side
    3,177.02x = 4,700,597.31
  5. Step 5: Solve for x
    x = 4,700,597.31/3,177.02
  6. Step 6: Final answer
    x = 1,479.56

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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.