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Finding the Fourth Proportional to 2,041.73, 2,817.78 and 1,244.99

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Solution

The fourth proportional to 2,041.73, 2,817.78 and 1,244.99 is: 1,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.73 : 2,817.78 = 1,244.99 : x
  2. Step 2: Convert to fraction form
    2,041.73/2,817.78 = 1,244.99/x
  3. Step 3: Cross multiply
    2,041.73x = 2,817.78 × 1,244.99
  4. Step 4: Simplify right side
    2,041.73x = 3,508,107.92
  5. Step 5: Solve for x
    x = 3,508,107.92/2,041.73
  6. Step 6: Final answer
    x = 1,718.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.