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Finding the Fourth Proportional to 2,359.50, 3,254.50 and 1,414.64

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Solution

The fourth proportional to 2,359.50, 3,254.50 and 1,414.64 is: 1,951.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.50 : 3,254.50 = 1,414.64 : x
  2. Step 2: Convert to fraction form
    2,359.50/3,254.50 = 1,414.64/x
  3. Step 3: Cross multiply
    2,359.50x = 3,254.50 × 1,414.64
  4. Step 4: Simplify right side
    2,359.50x = 4,603,945.88
  5. Step 5: Solve for x
    x = 4,603,945.88/2,359.50
  6. Step 6: Final answer
    x = 1,951.24

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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.