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Finding the Fourth Proportional to 3,062.84, 4,229.16 and 1,884.56

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Solution

The fourth proportional to 3,062.84, 4,229.16 and 1,884.56 is: 2,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.84 : 4,229.16 = 1,884.56 : x
  2. Step 2: Convert to fraction form
    3,062.84/4,229.16 = 1,884.56/x
  3. Step 3: Cross multiply
    3,062.84x = 4,229.16 × 1,884.56
  4. Step 4: Simplify right side
    3,062.84x = 7,970,105.77
  5. Step 5: Solve for x
    x = 7,970,105.77/3,062.84
  6. Step 6: Final answer
    x = 2,602.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.