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Finding the Fourth Proportional to 2,149.18, 3,223.71 and 994.93

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Solution

The fourth proportional to 2,149.18, 3,223.71 and 994.93 is: 1,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.18 : 3,223.71 = 994.93 : x
  2. Step 2: Convert to fraction form
    2,149.18/3,223.71 = 994.93/x
  3. Step 3: Cross multiply
    2,149.18x = 3,223.71 × 994.93
  4. Step 4: Simplify right side
    2,149.18x = 3,207,365.79
  5. Step 5: Solve for x
    x = 3,207,365.79/2,149.18
  6. Step 6: Final answer
    x = 1,492.37

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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.