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Finding the Fourth Proportional to 1,474.75, 2,209.65 and 1,214.56

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Solution

The fourth proportional to 1,474.75, 2,209.65 and 1,214.56 is: 1,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.75 : 2,209.65 = 1,214.56 : x
  2. Step 2: Convert to fraction form
    1,474.75/2,209.65 = 1,214.56/x
  3. Step 3: Cross multiply
    1,474.75x = 2,209.65 × 1,214.56
  4. Step 4: Simplify right side
    1,474.75x = 2,683,752.50
  5. Step 5: Solve for x
    x = 2,683,752.50/1,474.75
  6. Step 6: Final answer
    x = 1,819.80

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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.