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Finding the Fourth Proportional to 2,984.46, 4,476.34 and 793.36

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Solution

The fourth proportional to 2,984.46, 4,476.34 and 793.36 is: 1,189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.46 : 4,476.34 = 793.36 : x
  2. Step 2: Convert to fraction form
    2,984.46/4,476.34 = 793.36/x
  3. Step 3: Cross multiply
    2,984.46x = 4,476.34 × 793.36
  4. Step 4: Simplify right side
    2,984.46x = 3,551,349.10
  5. Step 5: Solve for x
    x = 3,551,349.10/2,984.46
  6. Step 6: Final answer
    x = 1,189.95

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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.