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Finding the Fourth Proportional to 2,041.85, 3,062.36 and 654.81

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Solution

The fourth proportional to 2,041.85, 3,062.36 and 654.81 is: 982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.85 : 3,062.36 = 654.81 : x
  2. Step 2: Convert to fraction form
    2,041.85/3,062.36 = 654.81/x
  3. Step 3: Cross multiply
    2,041.85x = 3,062.36 × 654.81
  4. Step 4: Simplify right side
    2,041.85x = 2,005,260.68
  5. Step 5: Solve for x
    x = 2,005,260.68/2,041.85
  6. Step 6: Final answer
    x = 982.08

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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.