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Finding the Fourth Proportional to 2,031.32, 2,803.22 and 1,099.82

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Solution

The fourth proportional to 2,031.32, 2,803.22 and 1,099.82 is: 1,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.32 : 2,803.22 = 1,099.82 : x
  2. Step 2: Convert to fraction form
    2,031.32/2,803.22 = 1,099.82/x
  3. Step 3: Cross multiply
    2,031.32x = 2,803.22 × 1,099.82
  4. Step 4: Simplify right side
    2,031.32x = 3,083,017.91
  5. Step 5: Solve for x
    x = 3,083,017.91/2,031.32
  6. Step 6: Final answer
    x = 1,517.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.