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Finding the Fourth Proportional to 2,737.53, 4,087.70 and 2,175.90

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Solution

The fourth proportional to 2,737.53, 4,087.70 and 2,175.90 is: 3,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.53 : 4,087.70 = 2,175.90 : x
  2. Step 2: Convert to fraction form
    2,737.53/4,087.70 = 2,175.90/x
  3. Step 3: Cross multiply
    2,737.53x = 4,087.70 × 2,175.90
  4. Step 4: Simplify right side
    2,737.53x = 8,894,415.55
  5. Step 5: Solve for x
    x = 8,894,415.55/2,737.53
  6. Step 6: Final answer
    x = 3,249.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.