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Finding the Fourth Proportional to 2,839.08, 4,259.70 and 1,299

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Solution

The fourth proportional to 2,839.08, 4,259.70 and 1,299 is: 1,948.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.08 : 4,259.70 = 1,299 : x
  2. Step 2: Convert to fraction form
    2,839.08/4,259.70 = 1,299/x
  3. Step 3: Cross multiply
    2,839.08x = 4,259.70 × 1,299
  4. Step 4: Simplify right side
    2,839.08x = 5,533,350.30
  5. Step 5: Solve for x
    x = 5,533,350.30/2,839.08
  6. Step 6: Final answer
    x = 1,948.99

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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.