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Finding the Fourth Proportional to 3,440.68, 5,159.08 and 1,100.14

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Solution

The fourth proportional to 3,440.68, 5,159.08 and 1,100.14 is: 1,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.68 : 5,159.08 = 1,100.14 : x
  2. Step 2: Convert to fraction form
    3,440.68/5,159.08 = 1,100.14/x
  3. Step 3: Cross multiply
    3,440.68x = 5,159.08 × 1,100.14
  4. Step 4: Simplify right side
    3,440.68x = 5,675,710.27
  5. Step 5: Solve for x
    x = 5,675,710.27/3,440.68
  6. Step 6: Final answer
    x = 1,649.59

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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.