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Finding the Fourth Proportional to 1,921.97, 2,652.48 and 1,114.71

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Solution

The fourth proportional to 1,921.97, 2,652.48 and 1,114.71 is: 1,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.97 : 2,652.48 = 1,114.71 : x
  2. Step 2: Convert to fraction form
    1,921.97/2,652.48 = 1,114.71/x
  3. Step 3: Cross multiply
    1,921.97x = 2,652.48 × 1,114.71
  4. Step 4: Simplify right side
    1,921.97x = 2,956,745.98
  5. Step 5: Solve for x
    x = 2,956,745.98/1,921.97
  6. Step 6: Final answer
    x = 1,538.39

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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.