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Finding the Fourth Proportional to 3,177.55, 4,765.99 and 1,097.40

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Solution

The fourth proportional to 3,177.55, 4,765.99 and 1,097.40 is: 1,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.55 : 4,765.99 = 1,097.40 : x
  2. Step 2: Convert to fraction form
    3,177.55/4,765.99 = 1,097.40/x
  3. Step 3: Cross multiply
    3,177.55x = 4,765.99 × 1,097.40
  4. Step 4: Simplify right side
    3,177.55x = 5,230,187.80
  5. Step 5: Solve for x
    x = 5,230,187.80/3,177.55
  6. Step 6: Final answer
    x = 1,645.98

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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.