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Finding the Fourth Proportional to 2,026.70, 3,039.45 and 793.40

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Solution

The fourth proportional to 2,026.70, 3,039.45 and 793.40 is: 1,189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.70 : 3,039.45 = 793.40 : x
  2. Step 2: Convert to fraction form
    2,026.70/3,039.45 = 793.40/x
  3. Step 3: Cross multiply
    2,026.70x = 3,039.45 × 793.40
  4. Step 4: Simplify right side
    2,026.70x = 2,411,499.63
  5. Step 5: Solve for x
    x = 2,411,499.63/2,026.70
  6. Step 6: Final answer
    x = 1,189.87

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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.