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Finding the Fourth Proportional to 2,026.07, 3,039.14 and 565.37

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Solution

The fourth proportional to 2,026.07, 3,039.14 and 565.37 is: 848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.07 : 3,039.14 = 565.37 : x
  2. Step 2: Convert to fraction form
    2,026.07/3,039.14 = 565.37/x
  3. Step 3: Cross multiply
    2,026.07x = 3,039.14 × 565.37
  4. Step 4: Simplify right side
    2,026.07x = 1,718,238.58
  5. Step 5: Solve for x
    x = 1,718,238.58/2,026.07
  6. Step 6: Final answer
    x = 848.06

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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.