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Finding the Fourth Proportional to 3,451.99, 5,177.93 and 854.93

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Solution

The fourth proportional to 3,451.99, 5,177.93 and 854.93 is: 1,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.99 : 5,177.93 = 854.93 : x
  2. Step 2: Convert to fraction form
    3,451.99/5,177.93 = 854.93/x
  3. Step 3: Cross multiply
    3,451.99x = 5,177.93 × 854.93
  4. Step 4: Simplify right side
    3,451.99x = 4,426,767.69
  5. Step 5: Solve for x
    x = 4,426,767.69/3,451.99
  6. Step 6: Final answer
    x = 1,282.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.