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Finding the Fourth Proportional to 1,948.93, 2,916.23 and 1,843.38

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Solution

The fourth proportional to 1,948.93, 2,916.23 and 1,843.38 is: 2,758.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.93 : 2,916.23 = 1,843.38 : x
  2. Step 2: Convert to fraction form
    1,948.93/2,916.23 = 1,843.38/x
  3. Step 3: Cross multiply
    1,948.93x = 2,916.23 × 1,843.38
  4. Step 4: Simplify right side
    1,948.93x = 5,375,710.84
  5. Step 5: Solve for x
    x = 5,375,710.84/1,948.93
  6. Step 6: Final answer
    x = 2,758.29

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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.