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Finding the Fourth Proportional to 2,633.61, 3,633.75 and 1,571.78

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Solution

The fourth proportional to 2,633.61, 3,633.75 and 1,571.78 is: 2,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.61 : 3,633.75 = 1,571.78 : x
  2. Step 2: Convert to fraction form
    2,633.61/3,633.75 = 1,571.78/x
  3. Step 3: Cross multiply
    2,633.61x = 3,633.75 × 1,571.78
  4. Step 4: Simplify right side
    2,633.61x = 5,711,444.22
  5. Step 5: Solve for x
    x = 5,711,444.22/2,633.61
  6. Step 6: Final answer
    x = 2,168.67

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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.