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Finding the Fourth Proportional to 2,026.99, 3,041.36 and 857.31

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Solution

The fourth proportional to 2,026.99, 3,041.36 and 857.31 is: 1,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.99 : 3,041.36 = 857.31 : x
  2. Step 2: Convert to fraction form
    2,026.99/3,041.36 = 857.31/x
  3. Step 3: Cross multiply
    2,026.99x = 3,041.36 × 857.31
  4. Step 4: Simplify right side
    2,026.99x = 2,607,388.34
  5. Step 5: Solve for x
    x = 2,607,388.34/2,026.99
  6. Step 6: Final answer
    x = 1,286.34

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