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Finding the Fourth Proportional to 2,034.92, 3,050.18 and 995.62

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Solution

The fourth proportional to 2,034.92, 3,050.18 and 995.62 is: 1,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.92 : 3,050.18 = 995.62 : x
  2. Step 2: Convert to fraction form
    2,034.92/3,050.18 = 995.62/x
  3. Step 3: Cross multiply
    2,034.92x = 3,050.18 × 995.62
  4. Step 4: Simplify right side
    2,034.92x = 3,036,820.21
  5. Step 5: Solve for x
    x = 3,036,820.21/2,034.92
  6. Step 6: Final answer
    x = 1,492.35

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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.