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Finding the Fourth Proportional to 2,040.34, 3,060.56 and 579.46

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Solution

The fourth proportional to 2,040.34, 3,060.56 and 579.46 is: 869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.34 : 3,060.56 = 579.46 : x
  2. Step 2: Convert to fraction form
    2,040.34/3,060.56 = 579.46/x
  3. Step 3: Cross multiply
    2,040.34x = 3,060.56 × 579.46
  4. Step 4: Simplify right side
    2,040.34x = 1,773,472.10
  5. Step 5: Solve for x
    x = 1,773,472.10/2,040.34
  6. Step 6: Final answer
    x = 869.20

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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.