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Finding the Fourth Proportional to 2,669.77, 4,004.62 and 1,207.90

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Solution

The fourth proportional to 2,669.77, 4,004.62 and 1,207.90 is: 1,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.77 : 4,004.62 = 1,207.90 : x
  2. Step 2: Convert to fraction form
    2,669.77/4,004.62 = 1,207.90/x
  3. Step 3: Cross multiply
    2,669.77x = 4,004.62 × 1,207.90
  4. Step 4: Simplify right side
    2,669.77x = 4,837,180.50
  5. Step 5: Solve for x
    x = 4,837,180.50/2,669.77
  6. Step 6: Final answer
    x = 1,811.83

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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.