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Finding the Fourth Proportional to 2,813.60, 4,200.08 and 2,468

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Solution

The fourth proportional to 2,813.60, 4,200.08 and 2,468 is: 3,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.60 : 4,200.08 = 2,468 : x
  2. Step 2: Convert to fraction form
    2,813.60/4,200.08 = 2,468/x
  3. Step 3: Cross multiply
    2,813.60x = 4,200.08 × 2,468
  4. Step 4: Simplify right side
    2,813.60x = 10,365,797.44
  5. Step 5: Solve for x
    x = 10,365,797.44/2,813.60
  6. Step 6: Final answer
    x = 3,684.18

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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.