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Finding the Fourth Proportional to 2,436.86, 3,655.29 and 1,571.78

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Solution

The fourth proportional to 2,436.86, 3,655.29 and 1,571.78 is: 2,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.86 : 3,655.29 = 1,571.78 : x
  2. Step 2: Convert to fraction form
    2,436.86/3,655.29 = 1,571.78/x
  3. Step 3: Cross multiply
    2,436.86x = 3,655.29 × 1,571.78
  4. Step 4: Simplify right side
    2,436.86x = 5,745,311.72
  5. Step 5: Solve for x
    x = 5,745,311.72/2,436.86
  6. Step 6: Final answer
    x = 2,357.67

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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.