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Finding the Fourth Proportional to 2,176.02, 3,266.10 and 1,351.80

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Solution

The fourth proportional to 2,176.02, 3,266.10 and 1,351.80 is: 2,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.02 : 3,266.10 = 1,351.80 : x
  2. Step 2: Convert to fraction form
    2,176.02/3,266.10 = 1,351.80/x
  3. Step 3: Cross multiply
    2,176.02x = 3,266.10 × 1,351.80
  4. Step 4: Simplify right side
    2,176.02x = 4,415,113.98
  5. Step 5: Solve for x
    x = 4,415,113.98/2,176.02
  6. Step 6: Final answer
    x = 2,028.99

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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.