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Finding the Fourth Proportional to 2,077.68, 3,115.89 and 980.94

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Solution

The fourth proportional to 2,077.68, 3,115.89 and 980.94 is: 1,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.68 : 3,115.89 = 980.94 : x
  2. Step 2: Convert to fraction form
    2,077.68/3,115.89 = 980.94/x
  3. Step 3: Cross multiply
    2,077.68x = 3,115.89 × 980.94
  4. Step 4: Simplify right side
    2,077.68x = 3,056,501.14
  5. Step 5: Solve for x
    x = 3,056,501.14/2,077.68
  6. Step 6: Final answer
    x = 1,471.11

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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.