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Finding the Fourth Proportional to 1,900.72, 2,850.40 and 805.17

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Solution

The fourth proportional to 1,900.72, 2,850.40 and 805.17 is: 1,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.72 : 2,850.40 = 805.17 : x
  2. Step 2: Convert to fraction form
    1,900.72/2,850.40 = 805.17/x
  3. Step 3: Cross multiply
    1,900.72x = 2,850.40 × 805.17
  4. Step 4: Simplify right side
    1,900.72x = 2,295,056.57
  5. Step 5: Solve for x
    x = 2,295,056.57/1,900.72
  6. Step 6: Final answer
    x = 1,207.47

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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.