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Finding the Fourth Proportional to 2,040.74, 3,061.61 and 579.90

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Solution

The fourth proportional to 2,040.74, 3,061.61 and 579.90 is: 869.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.74 : 3,061.61 = 579.90 : x
  2. Step 2: Convert to fraction form
    2,040.74/3,061.61 = 579.90/x
  3. Step 3: Cross multiply
    2,040.74x = 3,061.61 × 579.90
  4. Step 4: Simplify right side
    2,040.74x = 1,775,424.74
  5. Step 5: Solve for x
    x = 1,775,424.74/2,040.74
  6. Step 6: Final answer
    x = 869.99

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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.