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Finding the Fourth Proportional to 4,267.50, 6,403.77 and 1,802.16

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Solution

The fourth proportional to 4,267.50, 6,403.77 and 1,802.16 is: 2,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.50 : 6,403.77 = 1,802.16 : x
  2. Step 2: Convert to fraction form
    4,267.50/6,403.77 = 1,802.16/x
  3. Step 3: Cross multiply
    4,267.50x = 6,403.77 × 1,802.16
  4. Step 4: Simplify right side
    4,267.50x = 11,540,618.14
  5. Step 5: Solve for x
    x = 11,540,618.14/4,267.50
  6. Step 6: Final answer
    x = 2,704.30

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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.