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Finding the Fourth Proportional to 2,581.56, 3,560.22 and 1,697.04

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Solution

The fourth proportional to 2,581.56, 3,560.22 and 1,697.04 is: 2,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.56 : 3,560.22 = 1,697.04 : x
  2. Step 2: Convert to fraction form
    2,581.56/3,560.22 = 1,697.04/x
  3. Step 3: Cross multiply
    2,581.56x = 3,560.22 × 1,697.04
  4. Step 4: Simplify right side
    2,581.56x = 6,041,835.75
  5. Step 5: Solve for x
    x = 6,041,835.75/2,581.56
  6. Step 6: Final answer
    x = 2,340.38

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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.