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Finding the Fourth Proportional to 3,184.73, 4,777.06 and 993.45

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Solution

The fourth proportional to 3,184.73, 4,777.06 and 993.45 is: 1,490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.73 : 4,777.06 = 993.45 : x
  2. Step 2: Convert to fraction form
    3,184.73/4,777.06 = 993.45/x
  3. Step 3: Cross multiply
    3,184.73x = 4,777.06 × 993.45
  4. Step 4: Simplify right side
    3,184.73x = 4,745,770.26
  5. Step 5: Solve for x
    x = 4,745,770.26/3,184.73
  6. Step 6: Final answer
    x = 1,490.16

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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.