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Finding the Fourth Proportional to 2,041.27, 3,061.56 and 580.53

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Solution

The fourth proportional to 2,041.27, 3,061.56 and 580.53 is: 870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.27 : 3,061.56 = 580.53 : x
  2. Step 2: Convert to fraction form
    2,041.27/3,061.56 = 580.53/x
  3. Step 3: Cross multiply
    2,041.27x = 3,061.56 × 580.53
  4. Step 4: Simplify right side
    2,041.27x = 1,777,327.43
  5. Step 5: Solve for x
    x = 1,777,327.43/2,041.27
  6. Step 6: Final answer
    x = 870.70

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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.