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Finding the Fourth Proportional to 2,026.08, 3,039.46 and 639.77

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Solution

The fourth proportional to 2,026.08, 3,039.46 and 639.77 is: 959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.08 : 3,039.46 = 639.77 : x
  2. Step 2: Convert to fraction form
    2,026.08/3,039.46 = 639.77/x
  3. Step 3: Cross multiply
    2,026.08x = 3,039.46 × 639.77
  4. Step 4: Simplify right side
    2,026.08x = 1,944,538.53
  5. Step 5: Solve for x
    x = 1,944,538.53/2,026.08
  6. Step 6: Final answer
    x = 959.75

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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.