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Finding the Fourth Proportional to 1,926.42, 2,661.12 and 1,489.82

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Solution

The fourth proportional to 1,926.42, 2,661.12 and 1,489.82 is: 2,058.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.42 : 2,661.12 = 1,489.82 : x
  2. Step 2: Convert to fraction form
    1,926.42/2,661.12 = 1,489.82/x
  3. Step 3: Cross multiply
    1,926.42x = 2,661.12 × 1,489.82
  4. Step 4: Simplify right side
    1,926.42x = 3,964,589.80
  5. Step 5: Solve for x
    x = 3,964,589.80/1,926.42
  6. Step 6: Final answer
    x = 2,058.01

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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.