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Finding the Fourth Proportional to 2,041.89, 3,062.71 and 580.84

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Solution

The fourth proportional to 2,041.89, 3,062.71 and 580.84 is: 871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.89 : 3,062.71 = 580.84 : x
  2. Step 2: Convert to fraction form
    2,041.89/3,062.71 = 580.84/x
  3. Step 3: Cross multiply
    2,041.89x = 3,062.71 × 580.84
  4. Step 4: Simplify right side
    2,041.89x = 1,778,944.48
  5. Step 5: Solve for x
    x = 1,778,944.48/2,041.89
  6. Step 6: Final answer
    x = 871.22

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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.