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Finding the Fourth Proportional to 2,227.60, 3,341.46 and 994.72

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Solution

The fourth proportional to 2,227.60, 3,341.46 and 994.72 is: 1,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.60 : 3,341.46 = 994.72 : x
  2. Step 2: Convert to fraction form
    2,227.60/3,341.46 = 994.72/x
  3. Step 3: Cross multiply
    2,227.60x = 3,341.46 × 994.72
  4. Step 4: Simplify right side
    2,227.60x = 3,323,817.09
  5. Step 5: Solve for x
    x = 3,323,817.09/2,227.60
  6. Step 6: Final answer
    x = 1,492.11

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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.