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Finding the Fourth Proportional to 2,346.50, 3,520.97 and 1,192.25

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Solution

The fourth proportional to 2,346.50, 3,520.97 and 1,192.25 is: 1,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.50 : 3,520.97 = 1,192.25 : x
  2. Step 2: Convert to fraction form
    2,346.50/3,520.97 = 1,192.25/x
  3. Step 3: Cross multiply
    2,346.50x = 3,520.97 × 1,192.25
  4. Step 4: Simplify right side
    2,346.50x = 4,197,870.52
  5. Step 5: Solve for x
    x = 4,197,870.52/2,346.50
  6. Step 6: Final answer
    x = 1,788.99

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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.