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Finding the Fourth Proportional to 2,591.92, 3,577.16 and 1,596.96

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Solution

The fourth proportional to 2,591.92, 3,577.16 and 1,596.96 is: 2,204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.92 : 3,577.16 = 1,596.96 : x
  2. Step 2: Convert to fraction form
    2,591.92/3,577.16 = 1,596.96/x
  3. Step 3: Cross multiply
    2,591.92x = 3,577.16 × 1,596.96
  4. Step 4: Simplify right side
    2,591.92x = 5,712,581.43
  5. Step 5: Solve for x
    x = 5,712,581.43/2,591.92
  6. Step 6: Final answer
    x = 2,204.00

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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.