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Finding the Fourth Proportional to 1,778.72, 2,455.50 and 1,248.73

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Solution

The fourth proportional to 1,778.72, 2,455.50 and 1,248.73 is: 1,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.72 : 2,455.50 = 1,248.73 : x
  2. Step 2: Convert to fraction form
    1,778.72/2,455.50 = 1,248.73/x
  3. Step 3: Cross multiply
    1,778.72x = 2,455.50 × 1,248.73
  4. Step 4: Simplify right side
    1,778.72x = 3,066,237.99
  5. Step 5: Solve for x
    x = 3,066,237.99/1,778.72
  6. Step 6: Final answer
    x = 1,723.85

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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.