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Finding the Fourth Proportional to 2,252.26, 3,378.03 and 608.91

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Solution

The fourth proportional to 2,252.26, 3,378.03 and 608.91 is: 913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.26 : 3,378.03 = 608.91 : x
  2. Step 2: Convert to fraction form
    2,252.26/3,378.03 = 608.91/x
  3. Step 3: Cross multiply
    2,252.26x = 3,378.03 × 608.91
  4. Step 4: Simplify right side
    2,252.26x = 2,056,916.25
  5. Step 5: Solve for x
    x = 2,056,916.25/2,252.26
  6. Step 6: Final answer
    x = 913.27

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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.