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Finding the Fourth Proportional to 1,839.33, 2,758.59 and 540.90

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Solution

The fourth proportional to 1,839.33, 2,758.59 and 540.90 is: 811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.33 : 2,758.59 = 540.90 : x
  2. Step 2: Convert to fraction form
    1,839.33/2,758.59 = 540.90/x
  3. Step 3: Cross multiply
    1,839.33x = 2,758.59 × 540.90
  4. Step 4: Simplify right side
    1,839.33x = 1,492,121.33
  5. Step 5: Solve for x
    x = 1,492,121.33/1,839.33
  6. Step 6: Final answer
    x = 811.23

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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.