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Finding the Fourth Proportional to 1,772.12, 2,657.61 and 675.87

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Solution

The fourth proportional to 1,772.12, 2,657.61 and 675.87 is: 1,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.12 : 2,657.61 = 675.87 : x
  2. Step 2: Convert to fraction form
    1,772.12/2,657.61 = 675.87/x
  3. Step 3: Cross multiply
    1,772.12x = 2,657.61 × 675.87
  4. Step 4: Simplify right side
    1,772.12x = 1,796,198.87
  5. Step 5: Solve for x
    x = 1,796,198.87/1,772.12
  6. Step 6: Final answer
    x = 1,013.59

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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.