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Finding the Fourth Proportional to 2,225.15, 3,337.95 and 839.65

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Solution

The fourth proportional to 2,225.15, 3,337.95 and 839.65 is: 1,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.15 : 3,337.95 = 839.65 : x
  2. Step 2: Convert to fraction form
    2,225.15/3,337.95 = 839.65/x
  3. Step 3: Cross multiply
    2,225.15x = 3,337.95 × 839.65
  4. Step 4: Simplify right side
    2,225.15x = 2,802,717.04
  5. Step 5: Solve for x
    x = 2,802,717.04/2,225.15
  6. Step 6: Final answer
    x = 1,259.56

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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.