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Finding the Fourth Proportional to 1,761.90, 2,431.44 and 965.22

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Solution

The fourth proportional to 1,761.90, 2,431.44 and 965.22 is: 1,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.90 : 2,431.44 = 965.22 : x
  2. Step 2: Convert to fraction form
    1,761.90/2,431.44 = 965.22/x
  3. Step 3: Cross multiply
    1,761.90x = 2,431.44 × 965.22
  4. Step 4: Simplify right side
    1,761.90x = 2,346,874.52
  5. Step 5: Solve for x
    x = 2,346,874.52/1,761.90
  6. Step 6: Final answer
    x = 1,332.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.