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Finding the Fourth Proportional to 1,900.41, 2,851.83 and 805.29

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Solution

The fourth proportional to 1,900.41, 2,851.83 and 805.29 is: 1,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.41 : 2,851.83 = 805.29 : x
  2. Step 2: Convert to fraction form
    1,900.41/2,851.83 = 805.29/x
  3. Step 3: Cross multiply
    1,900.41x = 2,851.83 × 805.29
  4. Step 4: Simplify right side
    1,900.41x = 2,296,550.18
  5. Step 5: Solve for x
    x = 2,296,550.18/1,900.41
  6. Step 6: Final answer
    x = 1,208.45

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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.