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Finding the Fourth Proportional to 2,776.53, 4,162.72 and 1,680.63

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Solution

The fourth proportional to 2,776.53, 4,162.72 and 1,680.63 is: 2,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.53 : 4,162.72 = 1,680.63 : x
  2. Step 2: Convert to fraction form
    2,776.53/4,162.72 = 1,680.63/x
  3. Step 3: Cross multiply
    2,776.53x = 4,162.72 × 1,680.63
  4. Step 4: Simplify right side
    2,776.53x = 6,995,983.71
  5. Step 5: Solve for x
    x = 6,995,983.71/2,776.53
  6. Step 6: Final answer
    x = 2,519.69

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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.