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Finding the Fourth Proportional to 2,731.88, 3,767.46 and 1,681.64

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Solution

The fourth proportional to 2,731.88, 3,767.46 and 1,681.64 is: 2,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.88 : 3,767.46 = 1,681.64 : x
  2. Step 2: Convert to fraction form
    2,731.88/3,767.46 = 1,681.64/x
  3. Step 3: Cross multiply
    2,731.88x = 3,767.46 × 1,681.64
  4. Step 4: Simplify right side
    2,731.88x = 6,335,511.43
  5. Step 5: Solve for x
    x = 6,335,511.43/2,731.88
  6. Step 6: Final answer
    x = 2,319.10

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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.