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Finding the Fourth Proportional to 1,542.76, 2,302.27 and 1,378.73

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Solution

The fourth proportional to 1,542.76, 2,302.27 and 1,378.73 is: 2,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.76 : 2,302.27 = 1,378.73 : x
  2. Step 2: Convert to fraction form
    1,542.76/2,302.27 = 1,378.73/x
  3. Step 3: Cross multiply
    1,542.76x = 2,302.27 × 1,378.73
  4. Step 4: Simplify right side
    1,542.76x = 3,174,218.78
  5. Step 5: Solve for x
    x = 3,174,218.78/1,542.76
  6. Step 6: Final answer
    x = 2,057.50

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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.