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Finding the Fourth Proportional to 1,771.88, 2,657.28 and 1,424.39

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Solution

The fourth proportional to 1,771.88, 2,657.28 and 1,424.39 is: 2,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.88 : 2,657.28 = 1,424.39 : x
  2. Step 2: Convert to fraction form
    1,771.88/2,657.28 = 1,424.39/x
  3. Step 3: Cross multiply
    1,771.88x = 2,657.28 × 1,424.39
  4. Step 4: Simplify right side
    1,771.88x = 3,784,989.29
  5. Step 5: Solve for x
    x = 3,784,989.29/1,771.88
  6. Step 6: Final answer
    x = 2,136.15

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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.