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Finding the Fourth Proportional to 2,446.42, 3,671.44 and 1,148.80

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Solution

The fourth proportional to 2,446.42, 3,671.44 and 1,148.80 is: 1,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.42 : 3,671.44 = 1,148.80 : x
  2. Step 2: Convert to fraction form
    2,446.42/3,671.44 = 1,148.80/x
  3. Step 3: Cross multiply
    2,446.42x = 3,671.44 × 1,148.80
  4. Step 4: Simplify right side
    2,446.42x = 4,217,750.27
  5. Step 5: Solve for x
    x = 4,217,750.27/2,446.42
  6. Step 6: Final answer
    x = 1,724.05

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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.