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Finding the Fourth Proportional to 3,105.12, 4,657.58 and 765.14

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Solution

The fourth proportional to 3,105.12, 4,657.58 and 765.14 is: 1,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.12 : 4,657.58 = 765.14 : x
  2. Step 2: Convert to fraction form
    3,105.12/4,657.58 = 765.14/x
  3. Step 3: Cross multiply
    3,105.12x = 4,657.58 × 765.14
  4. Step 4: Simplify right side
    3,105.12x = 3,563,700.76
  5. Step 5: Solve for x
    x = 3,563,700.76/3,105.12
  6. Step 6: Final answer
    x = 1,147.69

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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.