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Finding the Fourth Proportional to 1,454.60, 2,181.66 and 674.57

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Solution

The fourth proportional to 1,454.60, 2,181.66 and 674.57 is: 1,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.60 : 2,181.66 = 674.57 : x
  2. Step 2: Convert to fraction form
    1,454.60/2,181.66 = 674.57/x
  3. Step 3: Cross multiply
    1,454.60x = 2,181.66 × 674.57
  4. Step 4: Simplify right side
    1,454.60x = 1,471,682.39
  5. Step 5: Solve for x
    x = 1,471,682.39/1,454.60
  6. Step 6: Final answer
    x = 1,011.74

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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.