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Finding the Fourth Proportional to 2,839.40, 4,259.81 and 990.54

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Solution

The fourth proportional to 2,839.40, 4,259.81 and 990.54 is: 1,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.40 : 4,259.81 = 990.54 : x
  2. Step 2: Convert to fraction form
    2,839.40/4,259.81 = 990.54/x
  3. Step 3: Cross multiply
    2,839.40x = 4,259.81 × 990.54
  4. Step 4: Simplify right side
    2,839.40x = 4,219,522.85
  5. Step 5: Solve for x
    x = 4,219,522.85/2,839.40
  6. Step 6: Final answer
    x = 1,486.06

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Why These Related Problems?

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