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Finding the Fourth Proportional to 2,468.80, 3,685.36 and 2,288.64

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Solution

The fourth proportional to 2,468.80, 3,685.36 and 2,288.64 is: 3,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.80 : 3,685.36 = 2,288.64 : x
  2. Step 2: Convert to fraction form
    2,468.80/3,685.36 = 2,288.64/x
  3. Step 3: Cross multiply
    2,468.80x = 3,685.36 × 2,288.64
  4. Step 4: Simplify right side
    2,468.80x = 8,434,462.31
  5. Step 5: Solve for x
    x = 8,434,462.31/2,468.80
  6. Step 6: Final answer
    x = 3,416.42

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