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Finding the Fourth Proportional to 2,041.76, 3,062.49 and 655.25

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Solution

The fourth proportional to 2,041.76, 3,062.49 and 655.25 is: 982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.76 : 3,062.49 = 655.25 : x
  2. Step 2: Convert to fraction form
    2,041.76/3,062.49 = 655.25/x
  3. Step 3: Cross multiply
    2,041.76x = 3,062.49 × 655.25
  4. Step 4: Simplify right side
    2,041.76x = 2,006,696.57
  5. Step 5: Solve for x
    x = 2,006,696.57/2,041.76
  6. Step 6: Final answer
    x = 982.83

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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.