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Finding the Fourth Proportional to 2,041.41, 3,062.57 and 654.85

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Solution

The fourth proportional to 2,041.41, 3,062.57 and 654.85 is: 982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.41 : 3,062.57 = 654.85 : x
  2. Step 2: Convert to fraction form
    2,041.41/3,062.57 = 654.85/x
  3. Step 3: Cross multiply
    2,041.41x = 3,062.57 × 654.85
  4. Step 4: Simplify right side
    2,041.41x = 2,005,523.96
  5. Step 5: Solve for x
    x = 2,005,523.96/2,041.41
  6. Step 6: Final answer
    x = 982.42

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1.5x scale

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.