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Finding the Fourth Proportional to 3,184.36, 4,777.10 and 992.54

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Solution

The fourth proportional to 3,184.36, 4,777.10 and 992.54 is: 1,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.36 : 4,777.10 = 992.54 : x
  2. Step 2: Convert to fraction form
    3,184.36/4,777.10 = 992.54/x
  3. Step 3: Cross multiply
    3,184.36x = 4,777.10 × 992.54
  4. Step 4: Simplify right side
    3,184.36x = 4,741,457.87
  5. Step 5: Solve for x
    x = 4,741,457.87/3,184.36
  6. Step 6: Final answer
    x = 1,488.99

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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.