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Finding the Fourth Proportional to 1,667, 2,500.14 and 1,178.66

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Solution

The fourth proportional to 1,667, 2,500.14 and 1,178.66 is: 1,767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667 : 2,500.14 = 1,178.66 : x
  2. Step 2: Convert to fraction form
    1,667/2,500.14 = 1,178.66/x
  3. Step 3: Cross multiply
    1,667x = 2,500.14 × 1,178.66
  4. Step 4: Simplify right side
    1,667x = 2,946,815.01
  5. Step 5: Solve for x
    x = 2,946,815.01/1,667
  6. Step 6: Final answer
    x = 1,767.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.