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Finding the Fourth Proportional to 3,177.11, 4,765.97 and 985.25

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Solution

The fourth proportional to 3,177.11, 4,765.97 and 985.25 is: 1,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.11 : 4,765.97 = 985.25 : x
  2. Step 2: Convert to fraction form
    3,177.11/4,765.97 = 985.25/x
  3. Step 3: Cross multiply
    3,177.11x = 4,765.97 × 985.25
  4. Step 4: Simplify right side
    3,177.11x = 4,695,643.19
  5. Step 5: Solve for x
    x = 4,695,643.19/3,177.11
  6. Step 6: Final answer
    x = 1,477.96

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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.