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Finding the Fourth Proportional to 2,174.94, 3,002.14 and 1,324.20

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Solution

The fourth proportional to 2,174.94, 3,002.14 and 1,324.20 is: 1,827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.94 : 3,002.14 = 1,324.20 : x
  2. Step 2: Convert to fraction form
    2,174.94/3,002.14 = 1,324.20/x
  3. Step 3: Cross multiply
    2,174.94x = 3,002.14 × 1,324.20
  4. Step 4: Simplify right side
    2,174.94x = 3,975,433.79
  5. Step 5: Solve for x
    x = 3,975,433.79/2,174.94
  6. Step 6: Final answer
    x = 1,827.84

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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.