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Finding the Fourth Proportional to 1,472.00, 2,031.08 and 1,117.82

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Solution

The fourth proportional to 1,472.00, 2,031.08 and 1,117.82 is: 1,542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.00 : 2,031.08 = 1,117.82 : x
  2. Step 2: Convert to fraction form
    1,472.00/2,031.08 = 1,117.82/x
  3. Step 3: Cross multiply
    1,472.00x = 2,031.08 × 1,117.82
  4. Step 4: Simplify right side
    1,472.00x = 2,270,366.10
  5. Step 5: Solve for x
    x = 2,270,366.10/1,472.00
  6. Step 6: Final answer
    x = 1,542.37

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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.