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Finding the Fourth Proportional to 2,468.44, 3,406.86 and 1,473.64

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Solution

The fourth proportional to 2,468.44, 3,406.86 and 1,473.64 is: 2,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.44 : 3,406.86 = 1,473.64 : x
  2. Step 2: Convert to fraction form
    2,468.44/3,406.86 = 1,473.64/x
  3. Step 3: Cross multiply
    2,468.44x = 3,406.86 × 1,473.64
  4. Step 4: Simplify right side
    2,468.44x = 5,020,485.17
  5. Step 5: Solve for x
    x = 5,020,485.17/2,468.44
  6. Step 6: Final answer
    x = 2,033.87

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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.