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Finding the Fourth Proportional to 2,984.84, 4,477.62 and 793.61

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Solution

The fourth proportional to 2,984.84, 4,477.62 and 793.61 is: 1,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.84 : 4,477.62 = 793.61 : x
  2. Step 2: Convert to fraction form
    2,984.84/4,477.62 = 793.61/x
  3. Step 3: Cross multiply
    2,984.84x = 4,477.62 × 793.61
  4. Step 4: Simplify right side
    2,984.84x = 3,553,484.01
  5. Step 5: Solve for x
    x = 3,553,484.01/2,984.84
  6. Step 6: Final answer
    x = 1,190.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.