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Finding the Fourth Proportional to 2,015.31, 3,024.33 and 767.01

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Solution

The fourth proportional to 2,015.31, 3,024.33 and 767.01 is: 1,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.31 : 3,024.33 = 767.01 : x
  2. Step 2: Convert to fraction form
    2,015.31/3,024.33 = 767.01/x
  3. Step 3: Cross multiply
    2,015.31x = 3,024.33 × 767.01
  4. Step 4: Simplify right side
    2,015.31x = 2,319,691.35
  5. Step 5: Solve for x
    x = 2,319,691.35/2,015.31
  6. Step 6: Final answer
    x = 1,151.03

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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.