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Finding the Fourth Proportional to 2,703.79, 3,731.23 and 1,524.86

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Solution

The fourth proportional to 2,703.79, 3,731.23 and 1,524.86 is: 2,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.79 : 3,731.23 = 1,524.86 : x
  2. Step 2: Convert to fraction form
    2,703.79/3,731.23 = 1,524.86/x
  3. Step 3: Cross multiply
    2,703.79x = 3,731.23 × 1,524.86
  4. Step 4: Simplify right side
    2,703.79x = 5,689,600.62
  5. Step 5: Solve for x
    x = 5,689,600.62/2,703.79
  6. Step 6: Final answer
    x = 2,104.30

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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.