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Finding the Fourth Proportional to 2,215.54, 3,324.12 and 1,242.46

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Solution

The fourth proportional to 2,215.54, 3,324.12 and 1,242.46 is: 1,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.54 : 3,324.12 = 1,242.46 : x
  2. Step 2: Convert to fraction form
    2,215.54/3,324.12 = 1,242.46/x
  3. Step 3: Cross multiply
    2,215.54x = 3,324.12 × 1,242.46
  4. Step 4: Simplify right side
    2,215.54x = 4,130,086.14
  5. Step 5: Solve for x
    x = 4,130,086.14/2,215.54
  6. Step 6: Final answer
    x = 1,864.14

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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.