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Finding the Fourth Proportional to 2,114.52, 2,917.80 and 1,170.33

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Solution

The fourth proportional to 2,114.52, 2,917.80 and 1,170.33 is: 1,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.52 : 2,917.80 = 1,170.33 : x
  2. Step 2: Convert to fraction form
    2,114.52/2,917.80 = 1,170.33/x
  3. Step 3: Cross multiply
    2,114.52x = 2,917.80 × 1,170.33
  4. Step 4: Simplify right side
    2,114.52x = 3,414,788.87
  5. Step 5: Solve for x
    x = 3,414,788.87/2,114.52
  6. Step 6: Final answer
    x = 1,614.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.