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Finding the Fourth Proportional to 2,506.88, 3,758.32 and 1,189.97

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Solution

The fourth proportional to 2,506.88, 3,758.32 and 1,189.97 is: 1,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.88 : 3,758.32 = 1,189.97 : x
  2. Step 2: Convert to fraction form
    2,506.88/3,758.32 = 1,189.97/x
  3. Step 3: Cross multiply
    2,506.88x = 3,758.32 × 1,189.97
  4. Step 4: Simplify right side
    2,506.88x = 4,472,309.33
  5. Step 5: Solve for x
    x = 4,472,309.33/2,506.88
  6. Step 6: Final answer
    x = 1,784.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.