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Finding the Fourth Proportional to 2,026.20, 2,796.24 and 1,240

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Solution

The fourth proportional to 2,026.20, 2,796.24 and 1,240 is: 1,711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.20 : 2,796.24 = 1,240 : x
  2. Step 2: Convert to fraction form
    2,026.20/2,796.24 = 1,240/x
  3. Step 3: Cross multiply
    2,026.20x = 2,796.24 × 1,240
  4. Step 4: Simplify right side
    2,026.20x = 3,467,337.60
  5. Step 5: Solve for x
    x = 3,467,337.60/2,026.20
  6. Step 6: Final answer
    x = 1,711.25

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