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Finding the Fourth Proportional to 2,468.48, 3,406.16 and 1,406.12

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Solution

The fourth proportional to 2,468.48, 3,406.16 and 1,406.12 is: 1,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.48 : 3,406.16 = 1,406.12 : x
  2. Step 2: Convert to fraction form
    2,468.48/3,406.16 = 1,406.12/x
  3. Step 3: Cross multiply
    2,468.48x = 3,406.16 × 1,406.12
  4. Step 4: Simplify right side
    2,468.48x = 4,789,456.18
  5. Step 5: Solve for x
    x = 4,789,456.18/2,468.48
  6. Step 6: Final answer
    x = 1,940.25

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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.