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Finding the Fourth Proportional to 2,467.84, 3,684.08 and 2,287.84

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Solution

The fourth proportional to 2,467.84, 3,684.08 and 2,287.84 is: 3,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.84 : 3,684.08 = 2,287.84 : x
  2. Step 2: Convert to fraction form
    2,467.84/3,684.08 = 2,287.84/x
  3. Step 3: Cross multiply
    2,467.84x = 3,684.08 × 2,287.84
  4. Step 4: Simplify right side
    2,467.84x = 8,428,585.59
  5. Step 5: Solve for x
    x = 8,428,585.59/2,467.84
  6. Step 6: Final answer
    x = 3,415.37

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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.