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Finding the Fourth Proportional to 2,041.14, 3,061.62 and 654.54

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Solution

The fourth proportional to 2,041.14, 3,061.62 and 654.54 is: 981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.14 : 3,061.62 = 654.54 : x
  2. Step 2: Convert to fraction form
    2,041.14/3,061.62 = 654.54/x
  3. Step 3: Cross multiply
    2,041.14x = 3,061.62 × 654.54
  4. Step 4: Simplify right side
    2,041.14x = 2,003,952.75
  5. Step 5: Solve for x
    x = 2,003,952.75/2,041.14
  6. Step 6: Final answer
    x = 981.78

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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.