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Finding the Fourth Proportional to 2,859.67, 4,289.68 and 1,104.95

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Solution

The fourth proportional to 2,859.67, 4,289.68 and 1,104.95 is: 1,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.67 : 4,289.68 = 1,104.95 : x
  2. Step 2: Convert to fraction form
    2,859.67/4,289.68 = 1,104.95/x
  3. Step 3: Cross multiply
    2,859.67x = 4,289.68 × 1,104.95
  4. Step 4: Simplify right side
    2,859.67x = 4,739,872.52
  5. Step 5: Solve for x
    x = 4,739,872.52/2,859.67
  6. Step 6: Final answer
    x = 1,657.49

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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.