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Finding the Fourth Proportional to 1,269.73, 1,897.84 and 1,103.86

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Solution

The fourth proportional to 1,269.73, 1,897.84 and 1,103.86 is: 1,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.73 : 1,897.84 = 1,103.86 : x
  2. Step 2: Convert to fraction form
    1,269.73/1,897.84 = 1,103.86/x
  3. Step 3: Cross multiply
    1,269.73x = 1,897.84 × 1,103.86
  4. Step 4: Simplify right side
    1,269.73x = 2,094,949.66
  5. Step 5: Solve for x
    x = 2,094,949.66/1,269.73
  6. Step 6: Final answer
    x = 1,649.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.