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Finding the Fourth Proportional to 2,709.88, 3,737.29 and 1,765.32

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Solution

The fourth proportional to 2,709.88, 3,737.29 and 1,765.32 is: 2,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.88 : 3,737.29 = 1,765.32 : x
  2. Step 2: Convert to fraction form
    2,709.88/3,737.29 = 1,765.32/x
  3. Step 3: Cross multiply
    2,709.88x = 3,737.29 × 1,765.32
  4. Step 4: Simplify right side
    2,709.88x = 6,597,494.10
  5. Step 5: Solve for x
    x = 6,597,494.10/2,709.88
  6. Step 6: Final answer
    x = 2,434.61

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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.