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Finding the Fourth Proportional to 1,900.63, 2,851.24 and 805

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Solution

The fourth proportional to 1,900.63, 2,851.24 and 805 is: 1,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.63 : 2,851.24 = 805 : x
  2. Step 2: Convert to fraction form
    1,900.63/2,851.24 = 805/x
  3. Step 3: Cross multiply
    1,900.63x = 2,851.24 × 805
  4. Step 4: Simplify right side
    1,900.63x = 2,295,248.20
  5. Step 5: Solve for x
    x = 2,295,248.20/1,900.63
  6. Step 6: Final answer
    x = 1,207.62

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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.