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Finding the Fourth Proportional to 1,839.40, 2,758.83 and 606.78

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Solution

The fourth proportional to 1,839.40, 2,758.83 and 606.78 is: 910.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.40 : 2,758.83 = 606.78 : x
  2. Step 2: Convert to fraction form
    1,839.40/2,758.83 = 606.78/x
  3. Step 3: Cross multiply
    1,839.40x = 2,758.83 × 606.78
  4. Step 4: Simplify right side
    1,839.40x = 1,674,002.87
  5. Step 5: Solve for x
    x = 1,674,002.87/1,839.40
  6. Step 6: Final answer
    x = 910.08

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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.