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Finding the Fourth Proportional to 1,377.88, 1,900.97 and 906.03

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Solution

The fourth proportional to 1,377.88, 1,900.97 and 906.03 is: 1,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.88 : 1,900.97 = 906.03 : x
  2. Step 2: Convert to fraction form
    1,377.88/1,900.97 = 906.03/x
  3. Step 3: Cross multiply
    1,377.88x = 1,900.97 × 906.03
  4. Step 4: Simplify right side
    1,377.88x = 1,722,335.85
  5. Step 5: Solve for x
    x = 1,722,335.85/1,377.88
  6. Step 6: Final answer
    x = 1,249.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.