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Finding the Fourth Proportional to 2,304.31, 3,456.47 and 572.94

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Solution

The fourth proportional to 2,304.31, 3,456.47 and 572.94 is: 859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.31 : 3,456.47 = 572.94 : x
  2. Step 2: Convert to fraction form
    2,304.31/3,456.47 = 572.94/x
  3. Step 3: Cross multiply
    2,304.31x = 3,456.47 × 572.94
  4. Step 4: Simplify right side
    2,304.31x = 1,980,349.92
  5. Step 5: Solve for x
    x = 1,980,349.92/2,304.31
  6. Step 6: Final answer
    x = 859.41

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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.