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Finding the Fourth Proportional to 2,463.66, 3,398.54 and 1,468.30

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Solution

The fourth proportional to 2,463.66, 3,398.54 and 1,468.30 is: 2,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.66 : 3,398.54 = 1,468.30 : x
  2. Step 2: Convert to fraction form
    2,463.66/3,398.54 = 1,468.30/x
  3. Step 3: Cross multiply
    2,463.66x = 3,398.54 × 1,468.30
  4. Step 4: Simplify right side
    2,463.66x = 4,990,076.28
  5. Step 5: Solve for x
    x = 4,990,076.28/2,463.66
  6. Step 6: Final answer
    x = 2,025.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.