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Finding the Fourth Proportional to 2,468.16, 3,406.61 and 1,474.19

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Solution

The fourth proportional to 2,468.16, 3,406.61 and 1,474.19 is: 2,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.16 : 3,406.61 = 1,474.19 : x
  2. Step 2: Convert to fraction form
    2,468.16/3,406.61 = 1,474.19/x
  3. Step 3: Cross multiply
    2,468.16x = 3,406.61 × 1,474.19
  4. Step 4: Simplify right side
    2,468.16x = 5,021,965.99
  5. Step 5: Solve for x
    x = 5,021,965.99/2,468.16
  6. Step 6: Final answer
    x = 2,034.70

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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.