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Finding the Fourth Proportional to 2,650.50, 3,657.36 and 1,471.41

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Solution

The fourth proportional to 2,650.50, 3,657.36 and 1,471.41 is: 2,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.50 : 3,657.36 = 1,471.41 : x
  2. Step 2: Convert to fraction form
    2,650.50/3,657.36 = 1,471.41/x
  3. Step 3: Cross multiply
    2,650.50x = 3,657.36 × 1,471.41
  4. Step 4: Simplify right side
    2,650.50x = 5,381,476.08
  5. Step 5: Solve for x
    x = 5,381,476.08/2,650.50
  6. Step 6: Final answer
    x = 2,030.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.