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Finding the Fourth Proportional to 2,318.78, 3,199.98 and 1,324.22

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Solution

The fourth proportional to 2,318.78, 3,199.98 and 1,324.22 is: 1,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.78 : 3,199.98 = 1,324.22 : x
  2. Step 2: Convert to fraction form
    2,318.78/3,199.98 = 1,324.22/x
  3. Step 3: Cross multiply
    2,318.78x = 3,199.98 × 1,324.22
  4. Step 4: Simplify right side
    2,318.78x = 4,237,477.52
  5. Step 5: Solve for x
    x = 4,237,477.52/2,318.78
  6. Step 6: Final answer
    x = 1,827.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.