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Finding the Fourth Proportional to 2,839.84, 4,259.77 and 990.95

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Solution

The fourth proportional to 2,839.84, 4,259.77 and 990.95 is: 1,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.84 : 4,259.77 = 990.95 : x
  2. Step 2: Convert to fraction form
    2,839.84/4,259.77 = 990.95/x
  3. Step 3: Cross multiply
    2,839.84x = 4,259.77 × 990.95
  4. Step 4: Simplify right side
    2,839.84x = 4,221,197.78
  5. Step 5: Solve for x
    x = 4,221,197.78/2,839.84
  6. Step 6: Final answer
    x = 1,486.42

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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.