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Finding the Fourth Proportional to 2,709.35, 3,737.69 and 1,714.42

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Solution

The fourth proportional to 2,709.35, 3,737.69 and 1,714.42 is: 2,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.35 : 3,737.69 = 1,714.42 : x
  2. Step 2: Convert to fraction form
    2,709.35/3,737.69 = 1,714.42/x
  3. Step 3: Cross multiply
    2,709.35x = 3,737.69 × 1,714.42
  4. Step 4: Simplify right side
    2,709.35x = 6,407,961.64
  5. Step 5: Solve for x
    x = 6,407,961.64/2,709.35
  6. Step 6: Final answer
    x = 2,365.13

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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.