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Finding the Fourth Proportional to 1,601.79, 2,208.78 and 1,265.13

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Solution

The fourth proportional to 1,601.79, 2,208.78 and 1,265.13 is: 1,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.79 : 2,208.78 = 1,265.13 : x
  2. Step 2: Convert to fraction form
    1,601.79/2,208.78 = 1,265.13/x
  3. Step 3: Cross multiply
    1,601.79x = 2,208.78 × 1,265.13
  4. Step 4: Simplify right side
    1,601.79x = 2,794,393.84
  5. Step 5: Solve for x
    x = 2,794,393.84/1,601.79
  6. Step 6: Final answer
    x = 1,744.54

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