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Finding the Fourth Proportional to 1,942.18, 2,684.01 and 1,726.18

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Solution

The fourth proportional to 1,942.18, 2,684.01 and 1,726.18 is: 2,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.18 : 2,684.01 = 1,726.18 : x
  2. Step 2: Convert to fraction form
    1,942.18/2,684.01 = 1,726.18/x
  3. Step 3: Cross multiply
    1,942.18x = 2,684.01 × 1,726.18
  4. Step 4: Simplify right side
    1,942.18x = 4,633,084.38
  5. Step 5: Solve for x
    x = 4,633,084.38/1,942.18
  6. Step 6: Final answer
    x = 2,385.51

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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.