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Finding the Fourth Proportional to 2,142.56, 3,215.16 and 844.13

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Solution

The fourth proportional to 2,142.56, 3,215.16 and 844.13 is: 1,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.56 : 3,215.16 = 844.13 : x
  2. Step 2: Convert to fraction form
    2,142.56/3,215.16 = 844.13/x
  3. Step 3: Cross multiply
    2,142.56x = 3,215.16 × 844.13
  4. Step 4: Simplify right side
    2,142.56x = 2,714,021.05
  5. Step 5: Solve for x
    x = 2,714,021.05/2,142.56
  6. Step 6: Final answer
    x = 1,266.72

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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.