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Finding the Fourth Proportional to 3,177.75, 4,765.44 and 1,097.17

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Solution

The fourth proportional to 3,177.75, 4,765.44 and 1,097.17 is: 1,645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.75 : 4,765.44 = 1,097.17 : x
  2. Step 2: Convert to fraction form
    3,177.75/4,765.44 = 1,097.17/x
  3. Step 3: Cross multiply
    3,177.75x = 4,765.44 × 1,097.17
  4. Step 4: Simplify right side
    3,177.75x = 5,228,497.80
  5. Step 5: Solve for x
    x = 5,228,497.80/3,177.75
  6. Step 6: Final answer
    x = 1,645.35

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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.