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Finding the Fourth Proportional to 2,184.75, 3,272.73 and 1,013.10

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Solution

The fourth proportional to 2,184.75, 3,272.73 and 1,013.10 is: 1,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.75 : 3,272.73 = 1,013.10 : x
  2. Step 2: Convert to fraction form
    2,184.75/3,272.73 = 1,013.10/x
  3. Step 3: Cross multiply
    2,184.75x = 3,272.73 × 1,013.10
  4. Step 4: Simplify right side
    2,184.75x = 3,315,602.76
  5. Step 5: Solve for x
    x = 3,315,602.76/2,184.75
  6. Step 6: Final answer
    x = 1,517.61

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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.