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Finding the Fourth Proportional to 2,510.19, 3,764.25 and 866.25

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Solution

The fourth proportional to 2,510.19, 3,764.25 and 866.25 is: 1,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.19 : 3,764.25 = 866.25 : x
  2. Step 2: Convert to fraction form
    2,510.19/3,764.25 = 866.25/x
  3. Step 3: Cross multiply
    2,510.19x = 3,764.25 × 866.25
  4. Step 4: Simplify right side
    2,510.19x = 3,260,781.56
  5. Step 5: Solve for x
    x = 3,260,781.56/2,510.19
  6. Step 6: Final answer
    x = 1,299.02

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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.