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Finding the Fourth Proportional to 3,267.50, 4,509.15 and 1,795.50

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Solution

The fourth proportional to 3,267.50, 4,509.15 and 1,795.50 is: 2,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.50 : 4,509.15 = 1,795.50 : x
  2. Step 2: Convert to fraction form
    3,267.50/4,509.15 = 1,795.50/x
  3. Step 3: Cross multiply
    3,267.50x = 4,509.15 × 1,795.50
  4. Step 4: Simplify right side
    3,267.50x = 8,096,178.83
  5. Step 5: Solve for x
    x = 8,096,178.83/3,267.50
  6. Step 6: Final answer
    x = 2,477.79

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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.