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Finding the Fourth Proportional to 1,761.75, 2,431.22 and 975.87

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Solution

The fourth proportional to 1,761.75, 2,431.22 and 975.87 is: 1,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.75 : 2,431.22 = 975.87 : x
  2. Step 2: Convert to fraction form
    1,761.75/2,431.22 = 975.87/x
  3. Step 3: Cross multiply
    1,761.75x = 2,431.22 × 975.87
  4. Step 4: Simplify right side
    1,761.75x = 2,372,549.78
  5. Step 5: Solve for x
    x = 2,372,549.78/1,761.75
  6. Step 6: Final answer
    x = 1,346.70

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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.