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Finding the Fourth Proportional to 1,274.92, 1,910.71 and 1,109.68

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Solution

The fourth proportional to 1,274.92, 1,910.71 and 1,109.68 is: 1,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.92 : 1,910.71 = 1,109.68 : x
  2. Step 2: Convert to fraction form
    1,274.92/1,910.71 = 1,109.68/x
  3. Step 3: Cross multiply
    1,274.92x = 1,910.71 × 1,109.68
  4. Step 4: Simplify right side
    1,274.92x = 2,120,276.67
  5. Step 5: Solve for x
    x = 2,120,276.67/1,274.92
  6. Step 6: Final answer
    x = 1,663.07

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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.