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Finding the Fourth Proportional to 1,769.68, 2,651.22 and 946.72

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Solution

The fourth proportional to 1,769.68, 2,651.22 and 946.72 is: 1,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.68 : 2,651.22 = 946.72 : x
  2. Step 2: Convert to fraction form
    1,769.68/2,651.22 = 946.72/x
  3. Step 3: Cross multiply
    1,769.68x = 2,651.22 × 946.72
  4. Step 4: Simplify right side
    1,769.68x = 2,509,963.00
  5. Step 5: Solve for x
    x = 2,509,963.00/1,769.68
  6. Step 6: Final answer
    x = 1,418.31

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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.