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Finding the Fourth Proportional to 2,071.76, 3,081.94 and 2,050.88

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Solution

The fourth proportional to 2,071.76, 3,081.94 and 2,050.88 is: 3,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.76 : 3,081.94 = 2,050.88 : x
  2. Step 2: Convert to fraction form
    2,071.76/3,081.94 = 2,050.88/x
  3. Step 3: Cross multiply
    2,071.76x = 3,081.94 × 2,050.88
  4. Step 4: Simplify right side
    2,071.76x = 6,320,689.11
  5. Step 5: Solve for x
    x = 6,320,689.11/2,071.76
  6. Step 6: Final answer
    x = 3,050.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.