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Finding the Fourth Proportional to 1,667.68, 2,302.41 and 1,247.56

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Solution

The fourth proportional to 1,667.68, 2,302.41 and 1,247.56 is: 1,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.68 : 2,302.41 = 1,247.56 : x
  2. Step 2: Convert to fraction form
    1,667.68/2,302.41 = 1,247.56/x
  3. Step 3: Cross multiply
    1,667.68x = 2,302.41 × 1,247.56
  4. Step 4: Simplify right side
    1,667.68x = 2,872,394.62
  5. Step 5: Solve for x
    x = 2,872,394.62/1,667.68
  6. Step 6: Final answer
    x = 1,722.39

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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.