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Finding the Fourth Proportional to 1,893.81, 2,614.17 and 1,400.42

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Solution

The fourth proportional to 1,893.81, 2,614.17 and 1,400.42 is: 1,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.81 : 2,614.17 = 1,400.42 : x
  2. Step 2: Convert to fraction form
    1,893.81/2,614.17 = 1,400.42/x
  3. Step 3: Cross multiply
    1,893.81x = 2,614.17 × 1,400.42
  4. Step 4: Simplify right side
    1,893.81x = 3,660,947.74
  5. Step 5: Solve for x
    x = 3,660,947.74/1,893.81
  6. Step 6: Final answer
    x = 1,933.11

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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.