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Finding the Fourth Proportional to 1,428.78, 2,141.40 and 843.19

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Solution

The fourth proportional to 1,428.78, 2,141.40 and 843.19 is: 1,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.78 : 2,141.40 = 843.19 : x
  2. Step 2: Convert to fraction form
    1,428.78/2,141.40 = 843.19/x
  3. Step 3: Cross multiply
    1,428.78x = 2,141.40 × 843.19
  4. Step 4: Simplify right side
    1,428.78x = 1,805,604.87
  5. Step 5: Solve for x
    x = 1,805,604.87/1,428.78
  6. Step 6: Final answer
    x = 1,263.74

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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.