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Finding the Fourth Proportional to 1,769.50, 2,658.17 and 1,154.17

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Solution

The fourth proportional to 1,769.50, 2,658.17 and 1,154.17 is: 1,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.50 : 2,658.17 = 1,154.17 : x
  2. Step 2: Convert to fraction form
    1,769.50/2,658.17 = 1,154.17/x
  3. Step 3: Cross multiply
    1,769.50x = 2,658.17 × 1,154.17
  4. Step 4: Simplify right side
    1,769.50x = 3,067,980.07
  5. Step 5: Solve for x
    x = 3,067,980.07/1,769.50
  6. Step 6: Final answer
    x = 1,733.81

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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.