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Finding the Fourth Proportional to 1,472.24, 2,031.86 and 842.84

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Solution

The fourth proportional to 1,472.24, 2,031.86 and 842.84 is: 1,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.24 : 2,031.86 = 842.84 : x
  2. Step 2: Convert to fraction form
    1,472.24/2,031.86 = 842.84/x
  3. Step 3: Cross multiply
    1,472.24x = 2,031.86 × 842.84
  4. Step 4: Simplify right side
    1,472.24x = 1,712,532.88
  5. Step 5: Solve for x
    x = 1,712,532.88/1,472.24
  6. Step 6: Final answer
    x = 1,163.22

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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.