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Finding the Fourth Proportional to 2,730.88, 3,766.08 and 1,680.64

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Solution

The fourth proportional to 2,730.88, 3,766.08 and 1,680.64 is: 2,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.88 : 3,766.08 = 1,680.64 : x
  2. Step 2: Convert to fraction form
    2,730.88/3,766.08 = 1,680.64/x
  3. Step 3: Cross multiply
    2,730.88x = 3,766.08 × 1,680.64
  4. Step 4: Simplify right side
    2,730.88x = 6,329,424.69
  5. Step 5: Solve for x
    x = 6,329,424.69/2,730.88
  6. Step 6: Final answer
    x = 2,317.72

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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.