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Finding the Fourth Proportional to 2,026.07, 3,039.28 and 565.24

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Solution

The fourth proportional to 2,026.07, 3,039.28 and 565.24 is: 847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.07 : 3,039.28 = 565.24 : x
  2. Step 2: Convert to fraction form
    2,026.07/3,039.28 = 565.24/x
  3. Step 3: Cross multiply
    2,026.07x = 3,039.28 × 565.24
  4. Step 4: Simplify right side
    2,026.07x = 1,717,919.80
  5. Step 5: Solve for x
    x = 1,717,919.80/2,026.07
  6. Step 6: Final answer
    x = 847.91

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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.