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Finding the Fourth Proportional to 2,026.68, 2,797.34 and 1,143

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Solution

The fourth proportional to 2,026.68, 2,797.34 and 1,143 is: 1,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.68 : 2,797.34 = 1,143 : x
  2. Step 2: Convert to fraction form
    2,026.68/2,797.34 = 1,143/x
  3. Step 3: Cross multiply
    2,026.68x = 2,797.34 × 1,143
  4. Step 4: Simplify right side
    2,026.68x = 3,197,359.62
  5. Step 5: Solve for x
    x = 3,197,359.62/2,026.68
  6. Step 6: Final answer
    x = 1,577.63

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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.