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Finding the Fourth Proportional to 2,667.92, 4,001.33 and 719.66

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Solution

The fourth proportional to 2,667.92, 4,001.33 and 719.66 is: 1,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.92 : 4,001.33 = 719.66 : x
  2. Step 2: Convert to fraction form
    2,667.92/4,001.33 = 719.66/x
  3. Step 3: Cross multiply
    2,667.92x = 4,001.33 × 719.66
  4. Step 4: Simplify right side
    2,667.92x = 2,879,603.55
  5. Step 5: Solve for x
    x = 2,879,603.55/2,667.92
  6. Step 6: Final answer
    x = 1,079.35

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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.