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Finding the Fourth Proportional to 1,428.37, 2,139.78 and 810.20

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Solution

The fourth proportional to 1,428.37, 2,139.78 and 810.20 is: 1,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.37 : 2,139.78 = 810.20 : x
  2. Step 2: Convert to fraction form
    1,428.37/2,139.78 = 810.20/x
  3. Step 3: Cross multiply
    1,428.37x = 2,139.78 × 810.20
  4. Step 4: Simplify right side
    1,428.37x = 1,733,649.76
  5. Step 5: Solve for x
    x = 1,733,649.76/1,428.37
  6. Step 6: Final answer
    x = 1,213.73

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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.