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Finding the Fourth Proportional to 2,368.06, 3,551.85 and 724.61

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Solution

The fourth proportional to 2,368.06, 3,551.85 and 724.61 is: 1,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.06 : 3,551.85 = 724.61 : x
  2. Step 2: Convert to fraction form
    2,368.06/3,551.85 = 724.61/x
  3. Step 3: Cross multiply
    2,368.06x = 3,551.85 × 724.61
  4. Step 4: Simplify right side
    2,368.06x = 2,573,714.91
  5. Step 5: Solve for x
    x = 2,573,714.91/2,368.06
  6. Step 6: Final answer
    x = 1,086.85

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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.