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Finding the Fourth Proportional to 2,041.32, 3,061.99 and 654.80

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Solution

The fourth proportional to 2,041.32, 3,061.99 and 654.80 is: 982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.32 : 3,061.99 = 654.80 : x
  2. Step 2: Convert to fraction form
    2,041.32/3,061.99 = 654.80/x
  3. Step 3: Cross multiply
    2,041.32x = 3,061.99 × 654.80
  4. Step 4: Simplify right side
    2,041.32x = 2,004,991.05
  5. Step 5: Solve for x
    x = 2,004,991.05/2,041.32
  6. Step 6: Final answer
    x = 982.20

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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.