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Finding the Fourth Proportional to 1,772.77, 2,657.81 and 1,079.31

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Solution

The fourth proportional to 1,772.77, 2,657.81 and 1,079.31 is: 1,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.77 : 2,657.81 = 1,079.31 : x
  2. Step 2: Convert to fraction form
    1,772.77/2,657.81 = 1,079.31/x
  3. Step 3: Cross multiply
    1,772.77x = 2,657.81 × 1,079.31
  4. Step 4: Simplify right side
    1,772.77x = 2,868,600.91
  5. Step 5: Solve for x
    x = 2,868,600.91/1,772.77
  6. Step 6: Final answer
    x = 1,618.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.