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Finding the Fourth Proportional to 1,749.64, 2,414.44 and 963.64

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Solution

The fourth proportional to 1,749.64, 2,414.44 and 963.64 is: 1,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.64 : 2,414.44 = 963.64 : x
  2. Step 2: Convert to fraction form
    1,749.64/2,414.44 = 963.64/x
  3. Step 3: Cross multiply
    1,749.64x = 2,414.44 × 963.64
  4. Step 4: Simplify right side
    1,749.64x = 2,326,650.96
  5. Step 5: Solve for x
    x = 2,326,650.96/1,749.64
  6. Step 6: Final answer
    x = 1,329.79

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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.