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Finding the Fourth Proportional to 2,669, 4,003.50 and 845

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Solution

The fourth proportional to 2,669, 4,003.50 and 845 is: 1,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669 : 4,003.50 = 845 : x
  2. Step 2: Convert to fraction form
    2,669/4,003.50 = 845/x
  3. Step 3: Cross multiply
    2,669x = 4,003.50 × 845
  4. Step 4: Simplify right side
    2,669x = 3,382,957.50
  5. Step 5: Solve for x
    x = 3,382,957.50/2,669
  6. Step 6: Final answer
    x = 1,267.50

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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.