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Finding the Fourth Proportional to 2,227.16, 3,341.54 and 994.46

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Solution

The fourth proportional to 2,227.16, 3,341.54 and 994.46 is: 1,492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.16 : 3,341.54 = 994.46 : x
  2. Step 2: Convert to fraction form
    2,227.16/3,341.54 = 994.46/x
  3. Step 3: Cross multiply
    2,227.16x = 3,341.54 × 994.46
  4. Step 4: Simplify right side
    2,227.16x = 3,323,022.90
  5. Step 5: Solve for x
    x = 3,323,022.90/2,227.16
  6. Step 6: Final answer
    x = 1,492.04

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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.