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Finding the Fourth Proportional to 2,914.92, 4,027.32 and 2,597.40

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Solution

The fourth proportional to 2,914.92, 4,027.32 and 2,597.40 is: 3,588.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.92 : 4,027.32 = 2,597.40 : x
  2. Step 2: Convert to fraction form
    2,914.92/4,027.32 = 2,597.40/x
  3. Step 3: Cross multiply
    2,914.92x = 4,027.32 × 2,597.40
  4. Step 4: Simplify right side
    2,914.92x = 10,460,560.97
  5. Step 5: Solve for x
    x = 10,460,560.97/2,914.92
  6. Step 6: Final answer
    x = 3,588.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.