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Finding the Fourth Proportional to 2,304.35, 3,456.55 and 572.97

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Solution

The fourth proportional to 2,304.35, 3,456.55 and 572.97 is: 859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.35 : 3,456.55 = 572.97 : x
  2. Step 2: Convert to fraction form
    2,304.35/3,456.55 = 572.97/x
  3. Step 3: Cross multiply
    2,304.35x = 3,456.55 × 572.97
  4. Step 4: Simplify right side
    2,304.35x = 1,980,499.45
  5. Step 5: Solve for x
    x = 1,980,499.45/2,304.35
  6. Step 6: Final answer
    x = 859.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.