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Finding the Fourth Proportional to 2,737.50, 3,777.75 and 1,495.50

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Solution

The fourth proportional to 2,737.50, 3,777.75 and 1,495.50 is: 2,063.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.50 : 3,777.75 = 1,495.50 : x
  2. Step 2: Convert to fraction form
    2,737.50/3,777.75 = 1,495.50/x
  3. Step 3: Cross multiply
    2,737.50x = 3,777.75 × 1,495.50
  4. Step 4: Simplify right side
    2,737.50x = 5,649,625.13
  5. Step 5: Solve for x
    x = 5,649,625.13/2,737.50
  6. Step 6: Final answer
    x = 2,063.79

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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.