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Finding the Fourth Proportional to 2,530.11, 3,796.88 and 886.67

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Solution

The fourth proportional to 2,530.11, 3,796.88 and 886.67 is: 1,330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.11 : 3,796.88 = 886.67 : x
  2. Step 2: Convert to fraction form
    2,530.11/3,796.88 = 886.67/x
  3. Step 3: Cross multiply
    2,530.11x = 3,796.88 × 886.67
  4. Step 4: Simplify right side
    2,530.11x = 3,366,579.59
  5. Step 5: Solve for x
    x = 3,366,579.59/2,530.11
  6. Step 6: Final answer
    x = 1,330.61

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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.