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Finding the Fourth Proportional to 2,103.55, 3,150.73 and 1,734.19

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Solution

The fourth proportional to 2,103.55, 3,150.73 and 1,734.19 is: 2,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.55 : 3,150.73 = 1,734.19 : x
  2. Step 2: Convert to fraction form
    2,103.55/3,150.73 = 1,734.19/x
  3. Step 3: Cross multiply
    2,103.55x = 3,150.73 × 1,734.19
  4. Step 4: Simplify right side
    2,103.55x = 5,463,964.46
  5. Step 5: Solve for x
    x = 5,463,964.46/2,103.55
  6. Step 6: Final answer
    x = 2,597.50

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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.