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Finding the Fourth Proportional to 3,184.34, 4,777.12 and 992.48

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Solution

The fourth proportional to 3,184.34, 4,777.12 and 992.48 is: 1,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.34 : 4,777.12 = 992.48 : x
  2. Step 2: Convert to fraction form
    3,184.34/4,777.12 = 992.48/x
  3. Step 3: Cross multiply
    3,184.34x = 4,777.12 × 992.48
  4. Step 4: Simplify right side
    3,184.34x = 4,741,196.06
  5. Step 5: Solve for x
    x = 4,741,196.06/3,184.34
  6. Step 6: Final answer
    x = 1,488.91

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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.