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Finding the Fourth Proportional to 3,122.77, 4,685.07 and 1,175.13

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Solution

The fourth proportional to 3,122.77, 4,685.07 and 1,175.13 is: 1,763.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.77 : 4,685.07 = 1,175.13 : x
  2. Step 2: Convert to fraction form
    3,122.77/4,685.07 = 1,175.13/x
  3. Step 3: Cross multiply
    3,122.77x = 4,685.07 × 1,175.13
  4. Step 4: Simplify right side
    3,122.77x = 5,505,566.31
  5. Step 5: Solve for x
    x = 5,505,566.31/3,122.77
  6. Step 6: Final answer
    x = 1,763.04

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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.