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Finding the Fourth Proportional to 2,708.60, 4,063.51 and 859.77

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Solution

The fourth proportional to 2,708.60, 4,063.51 and 859.77 is: 1,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.60 : 4,063.51 = 859.77 : x
  2. Step 2: Convert to fraction form
    2,708.60/4,063.51 = 859.77/x
  3. Step 3: Cross multiply
    2,708.60x = 4,063.51 × 859.77
  4. Step 4: Simplify right side
    2,708.60x = 3,493,689.85
  5. Step 5: Solve for x
    x = 3,493,689.85/2,708.60
  6. Step 6: Final answer
    x = 1,289.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.