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Finding the Fourth Proportional to 1,472.11, 2,031.68 and 882.63

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Solution

The fourth proportional to 1,472.11, 2,031.68 and 882.63 is: 1,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.11 : 2,031.68 = 882.63 : x
  2. Step 2: Convert to fraction form
    1,472.11/2,031.68 = 882.63/x
  3. Step 3: Cross multiply
    1,472.11x = 2,031.68 × 882.63
  4. Step 4: Simplify right side
    1,472.11x = 1,793,223.92
  5. Step 5: Solve for x
    x = 1,793,223.92/1,472.11
  6. Step 6: Final answer
    x = 1,218.13

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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.