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Finding the Fourth Proportional to 2,040.66, 3,061.50 and 579.78

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Solution

The fourth proportional to 2,040.66, 3,061.50 and 579.78 is: 869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.66 : 3,061.50 = 579.78 : x
  2. Step 2: Convert to fraction form
    2,040.66/3,061.50 = 579.78/x
  3. Step 3: Cross multiply
    2,040.66x = 3,061.50 × 579.78
  4. Step 4: Simplify right side
    2,040.66x = 1,774,996.47
  5. Step 5: Solve for x
    x = 1,774,996.47/2,040.66
  6. Step 6: Final answer
    x = 869.81

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Why These Related Problems?

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