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Finding the Fourth Proportional to 2,510.01, 3,764.75 and 866.37

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Solution

The fourth proportional to 2,510.01, 3,764.75 and 866.37 is: 1,299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.01 : 3,764.75 = 866.37 : x
  2. Step 2: Convert to fraction form
    2,510.01/3,764.75 = 866.37/x
  3. Step 3: Cross multiply
    2,510.01x = 3,764.75 × 866.37
  4. Step 4: Simplify right side
    2,510.01x = 3,261,662.13
  5. Step 5: Solve for x
    x = 3,261,662.13/2,510.01
  6. Step 6: Final answer
    x = 1,299.46

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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.