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Finding the Fourth Proportional to 2,468.28, 3,406.10 and 1,349.00

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Solution

The fourth proportional to 2,468.28, 3,406.10 and 1,349.00 is: 1,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.28 : 3,406.10 = 1,349.00 : x
  2. Step 2: Convert to fraction form
    2,468.28/3,406.10 = 1,349.00/x
  3. Step 3: Cross multiply
    2,468.28x = 3,406.10 × 1,349.00
  4. Step 4: Simplify right side
    2,468.28x = 4,594,817.90
  5. Step 5: Solve for x
    x = 4,594,817.90/2,468.28
  6. Step 6: Final answer
    x = 1,861.54

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Why These Related Problems?

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