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Finding the Fourth Proportional to 2,142.32, 3,212.06 and 909.41

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Solution

The fourth proportional to 2,142.32, 3,212.06 and 909.41 is: 1,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.32 : 3,212.06 = 909.41 : x
  2. Step 2: Convert to fraction form
    2,142.32/3,212.06 = 909.41/x
  3. Step 3: Cross multiply
    2,142.32x = 3,212.06 × 909.41
  4. Step 4: Simplify right side
    2,142.32x = 2,921,058.88
  5. Step 5: Solve for x
    x = 2,921,058.88/2,142.32
  6. Step 6: Final answer
    x = 1,363.51

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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.