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Finding the Fourth Proportional to 2,041.12, 3,060.74 and 654.18

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Solution

The fourth proportional to 2,041.12, 3,060.74 and 654.18 is: 980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.12 : 3,060.74 = 654.18 : x
  2. Step 2: Convert to fraction form
    2,041.12/3,060.74 = 654.18/x
  3. Step 3: Cross multiply
    2,041.12x = 3,060.74 × 654.18
  4. Step 4: Simplify right side
    2,041.12x = 2,002,274.89
  5. Step 5: Solve for x
    x = 2,002,274.89/2,041.12
  6. Step 6: Final answer
    x = 980.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.