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Finding the Fourth Proportional to 2,155.16, 3,232.85 and 674.58

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Solution

The fourth proportional to 2,155.16, 3,232.85 and 674.58 is: 1,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.16 : 3,232.85 = 674.58 : x
  2. Step 2: Convert to fraction form
    2,155.16/3,232.85 = 674.58/x
  3. Step 3: Cross multiply
    2,155.16x = 3,232.85 × 674.58
  4. Step 4: Simplify right side
    2,155.16x = 2,180,817.64
  5. Step 5: Solve for x
    x = 2,180,817.64/2,155.16
  6. Step 6: Final answer
    x = 1,011.90

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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.