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Finding the Fourth Proportional to 2,142.10, 3,212.52 and 909.50

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Solution

The fourth proportional to 2,142.10, 3,212.52 and 909.50 is: 1,363.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.10 : 3,212.52 = 909.50 : x
  2. Step 2: Convert to fraction form
    2,142.10/3,212.52 = 909.50/x
  3. Step 3: Cross multiply
    2,142.10x = 3,212.52 × 909.50
  4. Step 4: Simplify right side
    2,142.10x = 2,921,786.94
  5. Step 5: Solve for x
    x = 2,921,786.94/2,142.10
  6. Step 6: Final answer
    x = 1,363.98

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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.