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Finding the Fourth Proportional to 2,260.98, 3,391.44 and 617.52

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Solution

The fourth proportional to 2,260.98, 3,391.44 and 617.52 is: 926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.98 : 3,391.44 = 617.52 : x
  2. Step 2: Convert to fraction form
    2,260.98/3,391.44 = 617.52/x
  3. Step 3: Cross multiply
    2,260.98x = 3,391.44 × 617.52
  4. Step 4: Simplify right side
    2,260.98x = 2,094,292.43
  5. Step 5: Solve for x
    x = 2,094,292.43/2,260.98
  6. Step 6: Final answer
    x = 926.28

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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.