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Finding the Fourth Proportional to 2,615.82, 3,923.88 and 767.10

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Solution

The fourth proportional to 2,615.82, 3,923.88 and 767.10 is: 1,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.82 : 3,923.88 = 767.10 : x
  2. Step 2: Convert to fraction form
    2,615.82/3,923.88 = 767.10/x
  3. Step 3: Cross multiply
    2,615.82x = 3,923.88 × 767.10
  4. Step 4: Simplify right side
    2,615.82x = 3,010,008.35
  5. Step 5: Solve for x
    x = 3,010,008.35/2,615.82
  6. Step 6: Final answer
    x = 1,150.69

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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.