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Finding the Fourth Proportional to 1,977.26, 2,965.86 and 807.89

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Solution

The fourth proportional to 1,977.26, 2,965.86 and 807.89 is: 1,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.26 : 2,965.86 = 807.89 : x
  2. Step 2: Convert to fraction form
    1,977.26/2,965.86 = 807.89/x
  3. Step 3: Cross multiply
    1,977.26x = 2,965.86 × 807.89
  4. Step 4: Simplify right side
    1,977.26x = 2,396,073.81
  5. Step 5: Solve for x
    x = 2,396,073.81/1,977.26
  6. Step 6: Final answer
    x = 1,211.82

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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.