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Finding the Fourth Proportional to 2,122.94, 3,182.12 and 1,025.80

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Solution

The fourth proportional to 2,122.94, 3,182.12 and 1,025.80 is: 1,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.94 : 3,182.12 = 1,025.80 : x
  2. Step 2: Convert to fraction form
    2,122.94/3,182.12 = 1,025.80/x
  3. Step 3: Cross multiply
    2,122.94x = 3,182.12 × 1,025.80
  4. Step 4: Simplify right side
    2,122.94x = 3,264,209.46
  5. Step 5: Solve for x
    x = 3,264,209.46/2,122.94
  6. Step 6: Final answer
    x = 1,537.59

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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.