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Finding the Fourth Proportional to 2,772.42, 4,159.61 and 1,731.22

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Solution

The fourth proportional to 2,772.42, 4,159.61 and 1,731.22 is: 2,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.42 : 4,159.61 = 1,731.22 : x
  2. Step 2: Convert to fraction form
    2,772.42/4,159.61 = 1,731.22/x
  3. Step 3: Cross multiply
    2,772.42x = 4,159.61 × 1,731.22
  4. Step 4: Simplify right side
    2,772.42x = 7,201,179.23
  5. Step 5: Solve for x
    x = 7,201,179.23/2,772.42
  6. Step 6: Final answer
    x = 2,597.43

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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.