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Finding the Fourth Proportional to 1,471.50, 2,031.04 and 842.22

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Solution

The fourth proportional to 1,471.50, 2,031.04 and 842.22 is: 1,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.50 : 2,031.04 = 842.22 : x
  2. Step 2: Convert to fraction form
    1,471.50/2,031.04 = 842.22/x
  3. Step 3: Cross multiply
    1,471.50x = 2,031.04 × 842.22
  4. Step 4: Simplify right side
    1,471.50x = 1,710,592.13
  5. Step 5: Solve for x
    x = 1,710,592.13/1,471.50
  6. Step 6: Final answer
    x = 1,162.48

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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.