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Finding the Fourth Proportional to 2,304.36, 3,456.56 and 572.99

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Solution

The fourth proportional to 2,304.36, 3,456.56 and 572.99 is: 859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.36 : 3,456.56 = 572.99 : x
  2. Step 2: Convert to fraction form
    2,304.36/3,456.56 = 572.99/x
  3. Step 3: Cross multiply
    2,304.36x = 3,456.56 × 572.99
  4. Step 4: Simplify right side
    2,304.36x = 1,980,568.20
  5. Step 5: Solve for x
    x = 1,980,568.20/2,304.36
  6. Step 6: Final answer
    x = 859.49

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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.