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Finding the Fourth Proportional to 2,041.13, 3,061.91 and 654.14

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Solution

The fourth proportional to 2,041.13, 3,061.91 and 654.14 is: 981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.13 : 3,061.91 = 654.14 : x
  2. Step 2: Convert to fraction form
    2,041.13/3,061.91 = 654.14/x
  3. Step 3: Cross multiply
    2,041.13x = 3,061.91 × 654.14
  4. Step 4: Simplify right side
    2,041.13x = 2,002,899.23
  5. Step 5: Solve for x
    x = 2,002,899.23/2,041.13
  6. Step 6: Final answer
    x = 981.27

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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.