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Finding the Fourth Proportional to 1,471.88, 2,033.16 and 1,031.24

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Solution

The fourth proportional to 1,471.88, 2,033.16 and 1,031.24 is: 1,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.88 : 2,033.16 = 1,031.24 : x
  2. Step 2: Convert to fraction form
    1,471.88/2,033.16 = 1,031.24/x
  3. Step 3: Cross multiply
    1,471.88x = 2,033.16 × 1,031.24
  4. Step 4: Simplify right side
    1,471.88x = 2,096,675.92
  5. Step 5: Solve for x
    x = 2,096,675.92/1,471.88
  6. Step 6: Final answer
    x = 1,424.49

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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.