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Finding the Fourth Proportional to 2,041.38, 3,062.09 and 580.55

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Solution

The fourth proportional to 2,041.38, 3,062.09 and 580.55 is: 870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.38 : 3,062.09 = 580.55 : x
  2. Step 2: Convert to fraction form
    2,041.38/3,062.09 = 580.55/x
  3. Step 3: Cross multiply
    2,041.38x = 3,062.09 × 580.55
  4. Step 4: Simplify right side
    2,041.38x = 1,777,682.49
  5. Step 5: Solve for x
    x = 1,777,682.49/2,041.38
  6. Step 6: Final answer
    x = 870.82

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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.