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Finding the Fourth Proportional to 3,146.56, 4,714.72 and 2,281.44

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Solution

The fourth proportional to 3,146.56, 4,714.72 and 2,281.44 is: 3,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.56 : 4,714.72 = 2,281.44 : x
  2. Step 2: Convert to fraction form
    3,146.56/4,714.72 = 2,281.44/x
  3. Step 3: Cross multiply
    3,146.56x = 4,714.72 × 2,281.44
  4. Step 4: Simplify right side
    3,146.56x = 10,756,350.80
  5. Step 5: Solve for x
    x = 10,756,350.80/3,146.56
  6. Step 6: Final answer
    x = 3,418.45

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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.