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Finding the Fourth Proportional to 2,436.72, 3,655.41 and 876.41

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Solution

The fourth proportional to 2,436.72, 3,655.41 and 876.41 is: 1,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.72 : 3,655.41 = 876.41 : x
  2. Step 2: Convert to fraction form
    2,436.72/3,655.41 = 876.41/x
  3. Step 3: Cross multiply
    2,436.72x = 3,655.41 × 876.41
  4. Step 4: Simplify right side
    2,436.72x = 3,203,637.88
  5. Step 5: Solve for x
    x = 3,203,637.88/2,436.72
  6. Step 6: Final answer
    x = 1,314.73

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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.