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Finding the Fourth Proportional to 3,414.80, 5,117.54 and 1,657.37

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Solution

The fourth proportional to 3,414.80, 5,117.54 and 1,657.37 is: 2,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.80 : 5,117.54 = 1,657.37 : x
  2. Step 2: Convert to fraction form
    3,414.80/5,117.54 = 1,657.37/x
  3. Step 3: Cross multiply
    3,414.80x = 5,117.54 × 1,657.37
  4. Step 4: Simplify right side
    3,414.80x = 8,481,623.40
  5. Step 5: Solve for x
    x = 8,481,623.40/3,414.80
  6. Step 6: Final answer
    x = 2,483.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.