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Finding the Fourth Proportional to 1,900.77, 2,851.98 and 805.38

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Solution

The fourth proportional to 1,900.77, 2,851.98 and 805.38 is: 1,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.77 : 2,851.98 = 805.38 : x
  2. Step 2: Convert to fraction form
    1,900.77/2,851.98 = 805.38/x
  3. Step 3: Cross multiply
    1,900.77x = 2,851.98 × 805.38
  4. Step 4: Simplify right side
    1,900.77x = 2,296,927.65
  5. Step 5: Solve for x
    x = 2,296,927.65/1,900.77
  6. Step 6: Final answer
    x = 1,208.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.