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Finding the Fourth Proportional to 2,122.44, 3,182.62 and 1,256.52

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Solution

The fourth proportional to 2,122.44, 3,182.62 and 1,256.52 is: 1,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.44 : 3,182.62 = 1,256.52 : x
  2. Step 2: Convert to fraction form
    2,122.44/3,182.62 = 1,256.52/x
  3. Step 3: Cross multiply
    2,122.44x = 3,182.62 × 1,256.52
  4. Step 4: Simplify right side
    2,122.44x = 3,999,025.68
  5. Step 5: Solve for x
    x = 3,999,025.68/2,122.44
  6. Step 6: Final answer
    x = 1,884.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.