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Finding the Fourth Proportional to 2,737.03, 4,102.50 and 1,093.15

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Solution

The fourth proportional to 2,737.03, 4,102.50 and 1,093.15 is: 1,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.03 : 4,102.50 = 1,093.15 : x
  2. Step 2: Convert to fraction form
    2,737.03/4,102.50 = 1,093.15/x
  3. Step 3: Cross multiply
    2,737.03x = 4,102.50 × 1,093.15
  4. Step 4: Simplify right side
    2,737.03x = 4,484,647.88
  5. Step 5: Solve for x
    x = 4,484,647.88/2,737.03
  6. Step 6: Final answer
    x = 1,638.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.