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Finding the Fourth Proportional to 2,144.76, 3,215.75 and 1,412.11

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Solution

The fourth proportional to 2,144.76, 3,215.75 and 1,412.11 is: 2,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.76 : 3,215.75 = 1,412.11 : x
  2. Step 2: Convert to fraction form
    2,144.76/3,215.75 = 1,412.11/x
  3. Step 3: Cross multiply
    2,144.76x = 3,215.75 × 1,412.11
  4. Step 4: Simplify right side
    2,144.76x = 4,540,992.73
  5. Step 5: Solve for x
    x = 4,540,992.73/2,144.76
  6. Step 6: Final answer
    x = 2,117.25

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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.