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Finding the Fourth Proportional to 2,560.86, 3,550.28 and 2,470.77

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Solution

The fourth proportional to 2,560.86, 3,550.28 and 2,470.77 is: 3,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.86 : 3,550.28 = 2,470.77 : x
  2. Step 2: Convert to fraction form
    2,560.86/3,550.28 = 2,470.77/x
  3. Step 3: Cross multiply
    2,560.86x = 3,550.28 × 2,470.77
  4. Step 4: Simplify right side
    2,560.86x = 8,771,912.96
  5. Step 5: Solve for x
    x = 8,771,912.96/2,560.86
  6. Step 6: Final answer
    x = 3,425.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.