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Finding the Fourth Proportional to 7,797.90, 11,695.08 and 2,250

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Solution

The fourth proportional to 7,797.90, 11,695.08 and 2,250 is: 3,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.90 : 11,695.08 = 2,250 : x
  2. Step 2: Convert to fraction form
    7,797.90/11,695.08 = 2,250/x
  3. Step 3: Cross multiply
    7,797.90x = 11,695.08 × 2,250
  4. Step 4: Simplify right side
    7,797.90x = 26,313,930
  5. Step 5: Solve for x
    x = 26,313,930/7,797.90
  6. Step 6: Final answer
    x = 3,374.49

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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.