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Finding the Fourth Proportional to 2,758.94, 3,807.95 and 1,814.82

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Solution

The fourth proportional to 2,758.94, 3,807.95 and 1,814.82 is: 2,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.94 : 3,807.95 = 1,814.82 : x
  2. Step 2: Convert to fraction form
    2,758.94/3,807.95 = 1,814.82/x
  3. Step 3: Cross multiply
    2,758.94x = 3,807.95 × 1,814.82
  4. Step 4: Simplify right side
    2,758.94x = 6,910,741.88
  5. Step 5: Solve for x
    x = 6,910,741.88/2,758.94
  6. Step 6: Final answer
    x = 2,504.85

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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.