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Finding the Fourth Proportional to 1,769.57, 2,443.62 and 1,141.55

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Solution

The fourth proportional to 1,769.57, 2,443.62 and 1,141.55 is: 1,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.57 : 2,443.62 = 1,141.55 : x
  2. Step 2: Convert to fraction form
    1,769.57/2,443.62 = 1,141.55/x
  3. Step 3: Cross multiply
    1,769.57x = 2,443.62 × 1,141.55
  4. Step 4: Simplify right side
    1,769.57x = 2,789,502.19
  5. Step 5: Solve for x
    x = 2,789,502.19/1,769.57
  6. Step 6: Final answer
    x = 1,576.38

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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.