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Finding the Fourth Proportional to 1,548.71, 2,324.07 and 1,423.56

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Solution

The fourth proportional to 1,548.71, 2,324.07 and 1,423.56 is: 2,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.71 : 2,324.07 = 1,423.56 : x
  2. Step 2: Convert to fraction form
    1,548.71/2,324.07 = 1,423.56/x
  3. Step 3: Cross multiply
    1,548.71x = 2,324.07 × 1,423.56
  4. Step 4: Simplify right side
    1,548.71x = 3,308,453.09
  5. Step 5: Solve for x
    x = 3,308,453.09/1,548.71
  6. Step 6: Final answer
    x = 2,136.27

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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.