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Finding the Fourth Proportional to 2,701.32, 3,725.34 and 1,704.87

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Solution

The fourth proportional to 2,701.32, 3,725.34 and 1,704.87 is: 2,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.32 : 3,725.34 = 1,704.87 : x
  2. Step 2: Convert to fraction form
    2,701.32/3,725.34 = 1,704.87/x
  3. Step 3: Cross multiply
    2,701.32x = 3,725.34 × 1,704.87
  4. Step 4: Simplify right side
    2,701.32x = 6,351,220.41
  5. Step 5: Solve for x
    x = 6,351,220.41/2,701.32
  6. Step 6: Final answer
    x = 2,351.15

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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.