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Finding the Fourth Proportional to 2,597.76, 3,897.99 and 1,559.85

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Solution

The fourth proportional to 2,597.76, 3,897.99 and 1,559.85 is: 2,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.76 : 3,897.99 = 1,559.85 : x
  2. Step 2: Convert to fraction form
    2,597.76/3,897.99 = 1,559.85/x
  3. Step 3: Cross multiply
    2,597.76x = 3,897.99 × 1,559.85
  4. Step 4: Simplify right side
    2,597.76x = 6,080,279.70
  5. Step 5: Solve for x
    x = 6,080,279.70/2,597.76
  6. Step 6: Final answer
    x = 2,340.59

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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.