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Finding the Fourth Proportional to 1,805.88, 2,493.33 and 1,133.97

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Solution

The fourth proportional to 1,805.88, 2,493.33 and 1,133.97 is: 1,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.88 : 2,493.33 = 1,133.97 : x
  2. Step 2: Convert to fraction form
    1,805.88/2,493.33 = 1,133.97/x
  3. Step 3: Cross multiply
    1,805.88x = 2,493.33 × 1,133.97
  4. Step 4: Simplify right side
    1,805.88x = 2,827,361.42
  5. Step 5: Solve for x
    x = 2,827,361.42/1,805.88
  6. Step 6: Final answer
    x = 1,565.64

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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.