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Finding the Fourth Proportional to 2,164.52, 2,986.22 and 1,232.52

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Solution

The fourth proportional to 2,164.52, 2,986.22 and 1,232.52 is: 1,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.52 : 2,986.22 = 1,232.52 : x
  2. Step 2: Convert to fraction form
    2,164.52/2,986.22 = 1,232.52/x
  3. Step 3: Cross multiply
    2,164.52x = 2,986.22 × 1,232.52
  4. Step 4: Simplify right side
    2,164.52x = 3,680,575.87
  5. Step 5: Solve for x
    x = 3,680,575.87/2,164.52
  6. Step 6: Final answer
    x = 1,700.41

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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.