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Finding the Fourth Proportional to 2,077.26, 3,115.74 and 690.15

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Solution

The fourth proportional to 2,077.26, 3,115.74 and 690.15 is: 1,035.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.26 : 3,115.74 = 690.15 : x
  2. Step 2: Convert to fraction form
    2,077.26/3,115.74 = 690.15/x
  3. Step 3: Cross multiply
    2,077.26x = 3,115.74 × 690.15
  4. Step 4: Simplify right side
    2,077.26x = 2,150,327.96
  5. Step 5: Solve for x
    x = 2,150,327.96/2,077.26
  6. Step 6: Final answer
    x = 1,035.18

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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.