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Finding the Fourth Proportional to 2,461.78, 3,398.48 and 1,566.42

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Solution

The fourth proportional to 2,461.78, 3,398.48 and 1,566.42 is: 2,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.78 : 3,398.48 = 1,566.42 : x
  2. Step 2: Convert to fraction form
    2,461.78/3,398.48 = 1,566.42/x
  3. Step 3: Cross multiply
    2,461.78x = 3,398.48 × 1,566.42
  4. Step 4: Simplify right side
    2,461.78x = 5,323,447.04
  5. Step 5: Solve for x
    x = 5,323,447.04/2,461.78
  6. Step 6: Final answer
    x = 2,162.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.