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Finding the Fourth Proportional to 1,869.26, 2,803.97 and 699.55

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Solution

The fourth proportional to 1,869.26, 2,803.97 and 699.55 is: 1,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.26 : 2,803.97 = 699.55 : x
  2. Step 2: Convert to fraction form
    1,869.26/2,803.97 = 699.55/x
  3. Step 3: Cross multiply
    1,869.26x = 2,803.97 × 699.55
  4. Step 4: Simplify right side
    1,869.26x = 1,961,511.95
  5. Step 5: Solve for x
    x = 1,961,511.95/1,869.26
  6. Step 6: Final answer
    x = 1,049.35

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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.