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Finding the Fourth Proportional to 3,122.91, 4,685.31 and 1,175.40

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Solution

The fourth proportional to 3,122.91, 4,685.31 and 1,175.40 is: 1,763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.91 : 4,685.31 = 1,175.40 : x
  2. Step 2: Convert to fraction form
    3,122.91/4,685.31 = 1,175.40/x
  3. Step 3: Cross multiply
    3,122.91x = 4,685.31 × 1,175.40
  4. Step 4: Simplify right side
    3,122.91x = 5,507,113.37
  5. Step 5: Solve for x
    x = 5,507,113.37/3,122.91
  6. Step 6: Final answer
    x = 1,763.46

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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.