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Finding the Fourth Proportional to 2,468.34, 3,684.83 and 2,288.34

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Solution

The fourth proportional to 2,468.34, 3,684.83 and 2,288.34 is: 3,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.34 : 3,684.83 = 2,288.34 : x
  2. Step 2: Convert to fraction form
    2,468.34/3,684.83 = 2,288.34/x
  3. Step 3: Cross multiply
    2,468.34x = 3,684.83 × 2,288.34
  4. Step 4: Simplify right side
    2,468.34x = 8,432,132.44
  5. Step 5: Solve for x
    x = 8,432,132.44/2,468.34
  6. Step 6: Final answer
    x = 3,416.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.