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Finding the Fourth Proportional to 2,468.94, 3,407.19 and 1,349.88

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Solution

The fourth proportional to 2,468.94, 3,407.19 and 1,349.88 is: 1,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.94 : 3,407.19 = 1,349.88 : x
  2. Step 2: Convert to fraction form
    2,468.94/3,407.19 = 1,349.88/x
  3. Step 3: Cross multiply
    2,468.94x = 3,407.19 × 1,349.88
  4. Step 4: Simplify right side
    2,468.94x = 4,599,297.64
  5. Step 5: Solve for x
    x = 4,599,297.64/2,468.94
  6. Step 6: Final answer
    x = 1,862.86

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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.