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Finding the Fourth Proportional to 1,744.92, 2,601.48 and 1,700.04

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Solution

The fourth proportional to 1,744.92, 2,601.48 and 1,700.04 is: 2,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.92 : 2,601.48 = 1,700.04 : x
  2. Step 2: Convert to fraction form
    1,744.92/2,601.48 = 1,700.04/x
  3. Step 3: Cross multiply
    1,744.92x = 2,601.48 × 1,700.04
  4. Step 4: Simplify right side
    1,744.92x = 4,422,620.06
  5. Step 5: Solve for x
    x = 4,422,620.06/1,744.92
  6. Step 6: Final answer
    x = 2,534.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.