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Finding the Fourth Proportional to 1,769.57, 2,441.42 and 1,265.00

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Solution

The fourth proportional to 1,769.57, 2,441.42 and 1,265.00 is: 1,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.57 : 2,441.42 = 1,265.00 : x
  2. Step 2: Convert to fraction form
    1,769.57/2,441.42 = 1,265.00/x
  3. Step 3: Cross multiply
    1,769.57x = 2,441.42 × 1,265.00
  4. Step 4: Simplify right side
    1,769.57x = 3,088,377.77
  5. Step 5: Solve for x
    x = 3,088,377.77/1,769.57
  6. Step 6: Final answer
    x = 1,745.28

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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.