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Finding the Fourth Proportional to 2,681.84, 3,693.30 and 2,414.00

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Solution

The fourth proportional to 2,681.84, 3,693.30 and 2,414.00 is: 3,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.84 : 3,693.30 = 2,414.00 : x
  2. Step 2: Convert to fraction form
    2,681.84/3,693.30 = 2,414.00/x
  3. Step 3: Cross multiply
    2,681.84x = 3,693.30 × 2,414.00
  4. Step 4: Simplify right side
    2,681.84x = 8,915,626.38
  5. Step 5: Solve for x
    x = 8,915,626.38/2,681.84
  6. Step 6: Final answer
    x = 3,324.44

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Why These Related Problems?

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