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Finding the Fourth Proportional to 2,039.07, 3,056.43 and 805.95

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Solution

The fourth proportional to 2,039.07, 3,056.43 and 805.95 is: 1,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.07 : 3,056.43 = 805.95 : x
  2. Step 2: Convert to fraction form
    2,039.07/3,056.43 = 805.95/x
  3. Step 3: Cross multiply
    2,039.07x = 3,056.43 × 805.95
  4. Step 4: Simplify right side
    2,039.07x = 2,463,332.78
  5. Step 5: Solve for x
    x = 2,463,332.78/2,039.07
  6. Step 6: Final answer
    x = 1,208.06

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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.