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Finding the Fourth Proportional to 2,041.74, 3,062.61 and 655.05

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Solution

The fourth proportional to 2,041.74, 3,062.61 and 655.05 is: 982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.74 : 3,062.61 = 655.05 : x
  2. Step 2: Convert to fraction form
    2,041.74/3,062.61 = 655.05/x
  3. Step 3: Cross multiply
    2,041.74x = 3,062.61 × 655.05
  4. Step 4: Simplify right side
    2,041.74x = 2,006,162.68
  5. Step 5: Solve for x
    x = 2,006,162.68/2,041.74
  6. Step 6: Final answer
    x = 982.58

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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.