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Finding the Fourth Proportional to 2,040.92, 3,061.37 and 654.26

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Solution

The fourth proportional to 2,040.92, 3,061.37 and 654.26 is: 981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.92 : 3,061.37 = 654.26 : x
  2. Step 2: Convert to fraction form
    2,040.92/3,061.37 = 654.26/x
  3. Step 3: Cross multiply
    2,040.92x = 3,061.37 × 654.26
  4. Step 4: Simplify right side
    2,040.92x = 2,002,931.94
  5. Step 5: Solve for x
    x = 2,002,931.94/2,040.92
  6. Step 6: Final answer
    x = 981.39

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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.