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Finding the Fourth Proportional to 2,687.74, 3,711.63 and 2,048.38

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Solution

The fourth proportional to 2,687.74, 3,711.63 and 2,048.38 is: 2,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.74 : 3,711.63 = 2,048.38 : x
  2. Step 2: Convert to fraction form
    2,687.74/3,711.63 = 2,048.38/x
  3. Step 3: Cross multiply
    2,687.74x = 3,711.63 × 2,048.38
  4. Step 4: Simplify right side
    2,687.74x = 7,602,828.66
  5. Step 5: Solve for x
    x = 7,602,828.66/2,687.74
  6. Step 6: Final answer
    x = 2,828.71

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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.