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Finding the Fourth Proportional to 2,984.77, 4,477.43 and 793.59

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Solution

The fourth proportional to 2,984.77, 4,477.43 and 793.59 is: 1,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.77 : 4,477.43 = 793.59 : x
  2. Step 2: Convert to fraction form
    2,984.77/4,477.43 = 793.59/x
  3. Step 3: Cross multiply
    2,984.77x = 4,477.43 × 793.59
  4. Step 4: Simplify right side
    2,984.77x = 3,553,243.67
  5. Step 5: Solve for x
    x = 3,553,243.67/2,984.77
  6. Step 6: Final answer
    x = 1,190.46

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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.