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Finding the Fourth Proportional to 2,530.77, 3,796.68 and 864.76

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Solution

The fourth proportional to 2,530.77, 3,796.68 and 864.76 is: 1,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.77 : 3,796.68 = 864.76 : x
  2. Step 2: Convert to fraction form
    2,530.77/3,796.68 = 864.76/x
  3. Step 3: Cross multiply
    2,530.77x = 3,796.68 × 864.76
  4. Step 4: Simplify right side
    2,530.77x = 3,283,217.00
  5. Step 5: Solve for x
    x = 3,283,217.00/2,530.77
  6. Step 6: Final answer
    x = 1,297.32

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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.