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Finding the Fourth Proportional to 2,509.85, 3,764.63 and 866.43

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Solution

The fourth proportional to 2,509.85, 3,764.63 and 866.43 is: 1,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.85 : 3,764.63 = 866.43 : x
  2. Step 2: Convert to fraction form
    2,509.85/3,764.63 = 866.43/x
  3. Step 3: Cross multiply
    2,509.85x = 3,764.63 × 866.43
  4. Step 4: Simplify right side
    2,509.85x = 3,261,784.04
  5. Step 5: Solve for x
    x = 3,261,784.04/2,509.85
  6. Step 6: Final answer
    x = 1,299.60

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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.