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Finding the Fourth Proportional to 2,252.36, 3,378.54 and 608.94

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Solution

The fourth proportional to 2,252.36, 3,378.54 and 608.94 is: 913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.36 : 3,378.54 = 608.94 : x
  2. Step 2: Convert to fraction form
    2,252.36/3,378.54 = 608.94/x
  3. Step 3: Cross multiply
    2,252.36x = 3,378.54 × 608.94
  4. Step 4: Simplify right side
    2,252.36x = 2,057,328.15
  5. Step 5: Solve for x
    x = 2,057,328.15/2,252.36
  6. Step 6: Final answer
    x = 913.41

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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.