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Finding the Fourth Proportional to 2,461.85, 3,691.53 and 817.82

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Solution

The fourth proportional to 2,461.85, 3,691.53 and 817.82 is: 1,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.85 : 3,691.53 = 817.82 : x
  2. Step 2: Convert to fraction form
    2,461.85/3,691.53 = 817.82/x
  3. Step 3: Cross multiply
    2,461.85x = 3,691.53 × 817.82
  4. Step 4: Simplify right side
    2,461.85x = 3,018,991.67
  5. Step 5: Solve for x
    x = 3,018,991.67/2,461.85
  6. Step 6: Final answer
    x = 1,226.31

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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.