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Finding the Fourth Proportional to 4,267, 6,403.02 and 1,801.66

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Solution

The fourth proportional to 4,267, 6,403.02 and 1,801.66 is: 2,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267 : 6,403.02 = 1,801.66 : x
  2. Step 2: Convert to fraction form
    4,267/6,403.02 = 1,801.66/x
  3. Step 3: Cross multiply
    4,267x = 6,403.02 × 1,801.66
  4. Step 4: Simplify right side
    4,267x = 11,536,065.01
  5. Step 5: Solve for x
    x = 11,536,065.01/4,267
  6. Step 6: Final answer
    x = 2,703.55

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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.