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Finding the Fourth Proportional to 2,703.55, 3,731.24 and 1,524.87

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Solution

The fourth proportional to 2,703.55, 3,731.24 and 1,524.87 is: 2,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.55 : 3,731.24 = 1,524.87 : x
  2. Step 2: Convert to fraction form
    2,703.55/3,731.24 = 1,524.87/x
  3. Step 3: Cross multiply
    2,703.55x = 3,731.24 × 1,524.87
  4. Step 4: Simplify right side
    2,703.55x = 5,689,629.66
  5. Step 5: Solve for x
    x = 5,689,629.66/2,703.55
  6. Step 6: Final answer
    x = 2,104.50

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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.