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Finding the Fourth Proportional to 3,416.59, 5,123.26 and 1,468

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Solution

The fourth proportional to 3,416.59, 5,123.26 and 1,468 is: 2,201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.59 : 5,123.26 = 1,468 : x
  2. Step 2: Convert to fraction form
    3,416.59/5,123.26 = 1,468/x
  3. Step 3: Cross multiply
    3,416.59x = 5,123.26 × 1,468
  4. Step 4: Simplify right side
    3,416.59x = 7,520,945.68
  5. Step 5: Solve for x
    x = 7,520,945.68/3,416.59
  6. Step 6: Final answer
    x = 2,201.30

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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.