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Finding the Fourth Proportional to 1,192.50, 1,784.79 and 1,165.68

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Solution

The fourth proportional to 1,192.50, 1,784.79 and 1,165.68 is: 1,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.50 : 1,784.79 = 1,165.68 : x
  2. Step 2: Convert to fraction form
    1,192.50/1,784.79 = 1,165.68/x
  3. Step 3: Cross multiply
    1,192.50x = 1,784.79 × 1,165.68
  4. Step 4: Simplify right side
    1,192.50x = 2,080,494.01
  5. Step 5: Solve for x
    x = 2,080,494.01/1,192.50
  6. Step 6: Final answer
    x = 1,744.65

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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.