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Finding the Fourth Proportional to 2,806.26, 4,213.20 and 1,637.46

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Solution

The fourth proportional to 2,806.26, 4,213.20 and 1,637.46 is: 2,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.26 : 4,213.20 = 1,637.46 : x
  2. Step 2: Convert to fraction form
    2,806.26/4,213.20 = 1,637.46/x
  3. Step 3: Cross multiply
    2,806.26x = 4,213.20 × 1,637.46
  4. Step 4: Simplify right side
    2,806.26x = 6,898,946.47
  5. Step 5: Solve for x
    x = 6,898,946.47/2,806.26
  6. Step 6: Final answer
    x = 2,458.41

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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.