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Finding the Fourth Proportional to 2,468.10, 3,405.88 and 1,406.02

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Solution

The fourth proportional to 2,468.10, 3,405.88 and 1,406.02 is: 1,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.10 : 3,405.88 = 1,406.02 : x
  2. Step 2: Convert to fraction form
    2,468.10/3,405.88 = 1,406.02/x
  3. Step 3: Cross multiply
    2,468.10x = 3,405.88 × 1,406.02
  4. Step 4: Simplify right side
    2,468.10x = 4,788,735.40
  5. Step 5: Solve for x
    x = 4,788,735.40/2,468.10
  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.