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Finding the Fourth Proportional to 2,510.26, 3,765.12 and 866.62

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Solution

The fourth proportional to 2,510.26, 3,765.12 and 866.62 is: 1,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.26 : 3,765.12 = 866.62 : x
  2. Step 2: Convert to fraction form
    2,510.26/3,765.12 = 866.62/x
  3. Step 3: Cross multiply
    2,510.26x = 3,765.12 × 866.62
  4. Step 4: Simplify right side
    2,510.26x = 3,262,928.29
  5. Step 5: Solve for x
    x = 3,262,928.29/2,510.26
  6. Step 6: Final answer
    x = 1,299.84

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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.