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Finding the Fourth Proportional to 2,252.98, 3,379.47 and 954.28

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Solution

The fourth proportional to 2,252.98, 3,379.47 and 954.28 is: 1,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.98 : 3,379.47 = 954.28 : x
  2. Step 2: Convert to fraction form
    2,252.98/3,379.47 = 954.28/x
  3. Step 3: Cross multiply
    2,252.98x = 3,379.47 × 954.28
  4. Step 4: Simplify right side
    2,252.98x = 3,224,960.63
  5. Step 5: Solve for x
    x = 3,224,960.63/2,252.98
  6. Step 6: Final answer
    x = 1,431.42

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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.