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Finding the Fourth Proportional to 3,137.05, 4,705.56 and 765.10

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Solution

The fourth proportional to 3,137.05, 4,705.56 and 765.10 is: 1,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.05 : 4,705.56 = 765.10 : x
  2. Step 2: Convert to fraction form
    3,137.05/4,705.56 = 765.10/x
  3. Step 3: Cross multiply
    3,137.05x = 4,705.56 × 765.10
  4. Step 4: Simplify right side
    3,137.05x = 3,600,229.84
  5. Step 5: Solve for x
    x = 3,600,229.84/3,137.05
  6. Step 6: Final answer
    x = 1,147.65

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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.