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Finding the Fourth Proportional to 1,542.48, 2,324.13 and 1,274.58

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Solution

The fourth proportional to 1,542.48, 2,324.13 and 1,274.58 is: 1,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.48 : 2,324.13 = 1,274.58 : x
  2. Step 2: Convert to fraction form
    1,542.48/2,324.13 = 1,274.58/x
  3. Step 3: Cross multiply
    1,542.48x = 2,324.13 × 1,274.58
  4. Step 4: Simplify right side
    1,542.48x = 2,962,289.62
  5. Step 5: Solve for x
    x = 2,962,289.62/1,542.48
  6. Step 6: Final answer
    x = 1,920.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.