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Finding the Fourth Proportional to 2,026.40, 2,796.32 and 1,281

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Solution

The fourth proportional to 2,026.40, 2,796.32 and 1,281 is: 1,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.40 : 2,796.32 = 1,281 : x
  2. Step 2: Convert to fraction form
    2,026.40/2,796.32 = 1,281/x
  3. Step 3: Cross multiply
    2,026.40x = 2,796.32 × 1,281
  4. Step 4: Simplify right side
    2,026.40x = 3,582,085.92
  5. Step 5: Solve for x
    x = 3,582,085.92/2,026.40
  6. Step 6: Final answer
    x = 1,767.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.