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Finding the Fourth Proportional to 1,649.59, 2,476.10 and 1,105.57

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Solution

The fourth proportional to 1,649.59, 2,476.10 and 1,105.57 is: 1,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.59 : 2,476.10 = 1,105.57 : x
  2. Step 2: Convert to fraction form
    1,649.59/2,476.10 = 1,105.57/x
  3. Step 3: Cross multiply
    1,649.59x = 2,476.10 × 1,105.57
  4. Step 4: Simplify right side
    1,649.59x = 2,737,502.54
  5. Step 5: Solve for x
    x = 2,737,502.54/1,649.59
  6. Step 6: Final answer
    x = 1,659.50

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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.