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Finding the Fourth Proportional to 2,560.78, 3,534.52 and 1,814.86

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Solution

The fourth proportional to 2,560.78, 3,534.52 and 1,814.86 is: 2,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.78 : 3,534.52 = 1,814.86 : x
  2. Step 2: Convert to fraction form
    2,560.78/3,534.52 = 1,814.86/x
  3. Step 3: Cross multiply
    2,560.78x = 3,534.52 × 1,814.86
  4. Step 4: Simplify right side
    2,560.78x = 6,414,658.97
  5. Step 5: Solve for x
    x = 6,414,658.97/2,560.78
  6. Step 6: Final answer
    x = 2,504.96

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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.