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Finding the Fourth Proportional to 2,761.53, 3,808.83 and 1,953.63

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Solution

The fourth proportional to 2,761.53, 3,808.83 and 1,953.63 is: 2,694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.53 : 3,808.83 = 1,953.63 : x
  2. Step 2: Convert to fraction form
    2,761.53/3,808.83 = 1,953.63/x
  3. Step 3: Cross multiply
    2,761.53x = 3,808.83 × 1,953.63
  4. Step 4: Simplify right side
    2,761.53x = 7,441,044.55
  5. Step 5: Solve for x
    x = 7,441,044.55/2,761.53
  6. Step 6: Final answer
    x = 2,694.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.