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Finding the Fourth Proportional to 2,704.31, 3,731.93 and 1,462.31

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Solution

The fourth proportional to 2,704.31, 3,731.93 and 1,462.31 is: 2,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.31 : 3,731.93 = 1,462.31 : x
  2. Step 2: Convert to fraction form
    2,704.31/3,731.93 = 1,462.31/x
  3. Step 3: Cross multiply
    2,704.31x = 3,731.93 × 1,462.31
  4. Step 4: Simplify right side
    2,704.31x = 5,457,219.90
  5. Step 5: Solve for x
    x = 5,457,219.90/2,704.31
  6. Step 6: Final answer
    x = 2,017.98

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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.