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Finding the Fourth Proportional to 2,725.76, 3,761.05 and 1,607.05

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Solution

The fourth proportional to 2,725.76, 3,761.05 and 1,607.05 is: 2,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.76 : 3,761.05 = 1,607.05 : x
  2. Step 2: Convert to fraction form
    2,725.76/3,761.05 = 1,607.05/x
  3. Step 3: Cross multiply
    2,725.76x = 3,761.05 × 1,607.05
  4. Step 4: Simplify right side
    2,725.76x = 6,044,195.40
  5. Step 5: Solve for x
    x = 6,044,195.40/2,725.76
  6. Step 6: Final answer
    x = 2,217.43

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1.5x scale

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.