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Finding the Fourth Proportional to 2,265.64, 3,398.46 and 727.72

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Solution

The fourth proportional to 2,265.64, 3,398.46 and 727.72 is: 1,091.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.64 : 3,398.46 = 727.72 : x
  2. Step 2: Convert to fraction form
    2,265.64/3,398.46 = 727.72/x
  3. Step 3: Cross multiply
    2,265.64x = 3,398.46 × 727.72
  4. Step 4: Simplify right side
    2,265.64x = 2,473,127.31
  5. Step 5: Solve for x
    x = 2,473,127.31/2,265.64
  6. Step 6: Final answer
    x = 1,091.58

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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.