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Finding the Fourth Proportional to 1,293.29, 1,927.49 and 1,291.24

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Solution

The fourth proportional to 1,293.29, 1,927.49 and 1,291.24 is: 1,924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.29 : 1,927.49 = 1,291.24 : x
  2. Step 2: Convert to fraction form
    1,293.29/1,927.49 = 1,291.24/x
  3. Step 3: Cross multiply
    1,293.29x = 1,927.49 × 1,291.24
  4. Step 4: Simplify right side
    1,293.29x = 2,488,845.73
  5. Step 5: Solve for x
    x = 2,488,845.73/1,293.29
  6. Step 6: Final answer
    x = 1,924.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.