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Finding the Fourth Proportional to 2,197.47, 3,291.84 and 1,155.90

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Solution

The fourth proportional to 2,197.47, 3,291.84 and 1,155.90 is: 1,731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.47 : 3,291.84 = 1,155.90 : x
  2. Step 2: Convert to fraction form
    2,197.47/3,291.84 = 1,155.90/x
  3. Step 3: Cross multiply
    2,197.47x = 3,291.84 × 1,155.90
  4. Step 4: Simplify right side
    2,197.47x = 3,805,037.86
  5. Step 5: Solve for x
    x = 3,805,037.86/2,197.47
  6. Step 6: Final answer
    x = 1,731.55

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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.