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Finding the Fourth Proportional to 2,267, 3,128.55 and 1,322.65

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Solution

The fourth proportional to 2,267, 3,128.55 and 1,322.65 is: 1,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267 : 3,128.55 = 1,322.65 : x
  2. Step 2: Convert to fraction form
    2,267/3,128.55 = 1,322.65/x
  3. Step 3: Cross multiply
    2,267x = 3,128.55 × 1,322.65
  4. Step 4: Simplify right side
    2,267x = 4,137,954.40
  5. Step 5: Solve for x
    x = 4,137,954.40/2,267
  6. Step 6: Final answer
    x = 1,825.30

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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.