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Finding the Fourth Proportional to 2,212.65, 3,053.70 and 1,328.67

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Solution

The fourth proportional to 2,212.65, 3,053.70 and 1,328.67 is: 1,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.65 : 3,053.70 = 1,328.67 : x
  2. Step 2: Convert to fraction form
    2,212.65/3,053.70 = 1,328.67/x
  3. Step 3: Cross multiply
    2,212.65x = 3,053.70 × 1,328.67
  4. Step 4: Simplify right side
    2,212.65x = 4,057,359.58
  5. Step 5: Solve for x
    x = 4,057,359.58/2,212.65
  6. Step 6: Final answer
    x = 1,833.71

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