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Finding the Fourth Proportional to 2,092.84, 3,138.72 and 995.02

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Solution

The fourth proportional to 2,092.84, 3,138.72 and 995.02 is: 1,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.84 : 3,138.72 = 995.02 : x
  2. Step 2: Convert to fraction form
    2,092.84/3,138.72 = 995.02/x
  3. Step 3: Cross multiply
    2,092.84x = 3,138.72 × 995.02
  4. Step 4: Simplify right side
    2,092.84x = 3,123,089.17
  5. Step 5: Solve for x
    x = 3,123,089.17/2,092.84
  6. Step 6: Final answer
    x = 1,492.27

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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.