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Finding the Fourth Proportional to 2,339.25, 3,495.17 and 2,257.49

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Solution

The fourth proportional to 2,339.25, 3,495.17 and 2,257.49 is: 3,373.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.25 : 3,495.17 = 2,257.49 : x
  2. Step 2: Convert to fraction form
    2,339.25/3,495.17 = 2,257.49/x
  3. Step 3: Cross multiply
    2,339.25x = 3,495.17 × 2,257.49
  4. Step 4: Simplify right side
    2,339.25x = 7,890,282.56
  5. Step 5: Solve for x
    x = 7,890,282.56/2,339.25
  6. Step 6: Final answer
    x = 3,373.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.