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Finding the Fourth Proportional to 2,212.53, 3,053.27 and 1,217.81

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Solution

The fourth proportional to 2,212.53, 3,053.27 and 1,217.81 is: 1,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.53 : 3,053.27 = 1,217.81 : x
  2. Step 2: Convert to fraction form
    2,212.53/3,053.27 = 1,217.81/x
  3. Step 3: Cross multiply
    2,212.53x = 3,053.27 × 1,217.81
  4. Step 4: Simplify right side
    2,212.53x = 3,718,281.38
  5. Step 5: Solve for x
    x = 3,718,281.38/2,212.53
  6. Step 6: Final answer
    x = 1,680.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.