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Finding the Fourth Proportional to 2,291.94, 3,436.86 and 731.64

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Solution

The fourth proportional to 2,291.94, 3,436.86 and 731.64 is: 1,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.94 : 3,436.86 = 731.64 : x
  2. Step 2: Convert to fraction form
    2,291.94/3,436.86 = 731.64/x
  3. Step 3: Cross multiply
    2,291.94x = 3,436.86 × 731.64
  4. Step 4: Simplify right side
    2,291.94x = 2,514,544.25
  5. Step 5: Solve for x
    x = 2,514,544.25/2,291.94
  6. Step 6: Final answer
    x = 1,097.12

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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.