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Finding the Fourth Proportional to 2,225.83, 3,337.15 and 839.06

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Solution

The fourth proportional to 2,225.83, 3,337.15 and 839.06 is: 1,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.83 : 3,337.15 = 839.06 : x
  2. Step 2: Convert to fraction form
    2,225.83/3,337.15 = 839.06/x
  3. Step 3: Cross multiply
    2,225.83x = 3,337.15 × 839.06
  4. Step 4: Simplify right side
    2,225.83x = 2,800,069.08
  5. Step 5: Solve for x
    x = 2,800,069.08/2,225.83
  6. Step 6: Final answer
    x = 1,257.99

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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.