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Finding the Fourth Proportional to 1,850.15, 2,774.31 and 680.11

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Solution

The fourth proportional to 1,850.15, 2,774.31 and 680.11 is: 1,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.15 : 2,774.31 = 680.11 : x
  2. Step 2: Convert to fraction form
    1,850.15/2,774.31 = 680.11/x
  3. Step 3: Cross multiply
    1,850.15x = 2,774.31 × 680.11
  4. Step 4: Simplify right side
    1,850.15x = 1,886,818.70
  5. Step 5: Solve for x
    x = 1,886,818.70/1,850.15
  6. Step 6: Final answer
    x = 1,019.82

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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.