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Finding the Fourth Proportional to 2,468.25, 3,406.19 and 1,349.19

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Solution

The fourth proportional to 2,468.25, 3,406.19 and 1,349.19 is: 1,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.25 : 3,406.19 = 1,349.19 : x
  2. Step 2: Convert to fraction form
    2,468.25/3,406.19 = 1,349.19/x
  3. Step 3: Cross multiply
    2,468.25x = 3,406.19 × 1,349.19
  4. Step 4: Simplify right side
    2,468.25x = 4,595,590.74
  5. Step 5: Solve for x
    x = 4,595,590.74/2,468.25
  6. Step 6: Final answer
    x = 1,861.88

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1.5x scale

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.