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Finding the Fourth Proportional to 2,354.60, 3,249.42 and 1,306.82

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Solution

The fourth proportional to 2,354.60, 3,249.42 and 1,306.82 is: 1,803.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.60 : 3,249.42 = 1,306.82 : x
  2. Step 2: Convert to fraction form
    2,354.60/3,249.42 = 1,306.82/x
  3. Step 3: Cross multiply
    2,354.60x = 3,249.42 × 1,306.82
  4. Step 4: Simplify right side
    2,354.60x = 4,246,407.04
  5. Step 5: Solve for x
    x = 4,246,407.04/2,354.60
  6. Step 6: Final answer
    x = 1,803.45

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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.