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Finding the Fourth Proportional to 2,073.16, 3,108.48 and 1,424.80

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Solution

The fourth proportional to 2,073.16, 3,108.48 and 1,424.80 is: 2,136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.16 : 3,108.48 = 1,424.80 : x
  2. Step 2: Convert to fraction form
    2,073.16/3,108.48 = 1,424.80/x
  3. Step 3: Cross multiply
    2,073.16x = 3,108.48 × 1,424.80
  4. Step 4: Simplify right side
    2,073.16x = 4,428,962.30
  5. Step 5: Solve for x
    x = 4,428,962.30/2,073.16
  6. Step 6: Final answer
    x = 2,136.33

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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.