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Finding the Fourth Proportional to 2,468.39, 3,698.49 and 1,492.47

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Solution

The fourth proportional to 2,468.39, 3,698.49 and 1,492.47 is: 2,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.39 : 3,698.49 = 1,492.47 : x
  2. Step 2: Convert to fraction form
    2,468.39/3,698.49 = 1,492.47/x
  3. Step 3: Cross multiply
    2,468.39x = 3,698.49 × 1,492.47
  4. Step 4: Simplify right side
    2,468.39x = 5,519,890.97
  5. Step 5: Solve for x
    x = 5,519,890.97/2,468.39
  6. Step 6: Final answer
    x = 2,236.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.