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Finding the Fourth Proportional to 2,304.09, 3,456.13 and 572.71

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Solution

The fourth proportional to 2,304.09, 3,456.13 and 572.71 is: 859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.09 : 3,456.13 = 572.71 : x
  2. Step 2: Convert to fraction form
    2,304.09/3,456.13 = 572.71/x
  3. Step 3: Cross multiply
    2,304.09x = 3,456.13 × 572.71
  4. Step 4: Simplify right side
    2,304.09x = 1,979,365.80
  5. Step 5: Solve for x
    x = 1,979,365.80/2,304.09
  6. Step 6: Final answer
    x = 859.07

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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.