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Finding the Fourth Proportional to 1,427.87, 2,139.03 and 809.70

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Solution

The fourth proportional to 1,427.87, 2,139.03 and 809.70 is: 1,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.87 : 2,139.03 = 809.70 : x
  2. Step 2: Convert to fraction form
    1,427.87/2,139.03 = 809.70/x
  3. Step 3: Cross multiply
    1,427.87x = 2,139.03 × 809.70
  4. Step 4: Simplify right side
    1,427.87x = 1,731,972.59
  5. Step 5: Solve for x
    x = 1,731,972.59/1,427.87
  6. Step 6: Final answer
    x = 1,212.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.