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Finding the Fourth Proportional to 3,157.47, 4,357.31 and 1,760.22

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Solution

The fourth proportional to 3,157.47, 4,357.31 and 1,760.22 is: 2,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.47 : 4,357.31 = 1,760.22 : x
  2. Step 2: Convert to fraction form
    3,157.47/4,357.31 = 1,760.22/x
  3. Step 3: Cross multiply
    3,157.47x = 4,357.31 × 1,760.22
  4. Step 4: Simplify right side
    3,157.47x = 7,669,824.21
  5. Step 5: Solve for x
    x = 7,669,824.21/3,157.47
  6. Step 6: Final answer
    x = 2,429.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.