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Finding the Fourth Proportional to 2,468.81, 3,407.03 and 1,349.82

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Solution

The fourth proportional to 2,468.81, 3,407.03 and 1,349.82 is: 1,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.81 : 3,407.03 = 1,349.82 : x
  2. Step 2: Convert to fraction form
    2,468.81/3,407.03 = 1,349.82/x
  3. Step 3: Cross multiply
    2,468.81x = 3,407.03 × 1,349.82
  4. Step 4: Simplify right side
    2,468.81x = 4,598,860.20
  5. Step 5: Solve for x
    x = 4,598,860.20/2,468.81
  6. Step 6: Final answer
    x = 1,862.78

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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.