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Finding the Fourth Proportional to 2,041.88, 3,062.74 and 655.29

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Solution

The fourth proportional to 2,041.88, 3,062.74 and 655.29 is: 982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.88 : 3,062.74 = 655.29 : x
  2. Step 2: Convert to fraction form
    2,041.88/3,062.74 = 655.29/x
  3. Step 3: Cross multiply
    2,041.88x = 3,062.74 × 655.29
  4. Step 4: Simplify right side
    2,041.88x = 2,006,982.89
  5. Step 5: Solve for x
    x = 2,006,982.89/2,041.88
  6. Step 6: Final answer
    x = 982.91

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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.