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Finding the Fourth Proportional to 2,043.74, 3,065.25 and 542.78

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Solution

The fourth proportional to 2,043.74, 3,065.25 and 542.78 is: 814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.74 : 3,065.25 = 542.78 : x
  2. Step 2: Convert to fraction form
    2,043.74/3,065.25 = 542.78/x
  3. Step 3: Cross multiply
    2,043.74x = 3,065.25 × 542.78
  4. Step 4: Simplify right side
    2,043.74x = 1,663,754.60
  5. Step 5: Solve for x
    x = 1,663,754.60/2,043.74
  6. Step 6: Final answer
    x = 814.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.