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Finding the Fourth Proportional to 2,225.98, 3,335.37 and 838.72

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Solution

The fourth proportional to 2,225.98, 3,335.37 and 838.72 is: 1,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.98 : 3,335.37 = 838.72 : x
  2. Step 2: Convert to fraction form
    2,225.98/3,335.37 = 838.72/x
  3. Step 3: Cross multiply
    2,225.98x = 3,335.37 × 838.72
  4. Step 4: Simplify right side
    2,225.98x = 2,797,441.53
  5. Step 5: Solve for x
    x = 2,797,441.53/2,225.98
  6. Step 6: Final answer
    x = 1,256.72

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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.