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Finding the Fourth Proportional to 3,105.02, 4,657.56 and 765.02

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Solution

The fourth proportional to 3,105.02, 4,657.56 and 765.02 is: 1,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.02 : 4,657.56 = 765.02 : x
  2. Step 2: Convert to fraction form
    3,105.02/4,657.56 = 765.02/x
  3. Step 3: Cross multiply
    3,105.02x = 4,657.56 × 765.02
  4. Step 4: Simplify right side
    3,105.02x = 3,563,126.55
  5. Step 5: Solve for x
    x = 3,563,126.55/3,105.02
  6. Step 6: Final answer
    x = 1,147.54

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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.