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Finding the Fourth Proportional to 2,461.91, 3,691.98 and 818.01

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Solution

The fourth proportional to 2,461.91, 3,691.98 and 818.01 is: 1,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.91 : 3,691.98 = 818.01 : x
  2. Step 2: Convert to fraction form
    2,461.91/3,691.98 = 818.01/x
  3. Step 3: Cross multiply
    2,461.91x = 3,691.98 × 818.01
  4. Step 4: Simplify right side
    2,461.91x = 3,020,076.56
  5. Step 5: Solve for x
    x = 3,020,076.56/2,461.91
  6. Step 6: Final answer
    x = 1,226.72

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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.