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Finding the Fourth Proportional to 3,177.69, 4,767.16 and 1,097.77

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Solution

The fourth proportional to 3,177.69, 4,767.16 and 1,097.77 is: 1,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.69 : 4,767.16 = 1,097.77 : x
  2. Step 2: Convert to fraction form
    3,177.69/4,767.16 = 1,097.77/x
  3. Step 3: Cross multiply
    3,177.69x = 4,767.16 × 1,097.77
  4. Step 4: Simplify right side
    3,177.69x = 5,233,221.40
  5. Step 5: Solve for x
    x = 5,233,221.40/3,177.69
  6. Step 6: Final answer
    x = 1,646.87

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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.