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Finding the Fourth Proportional to 2,984.93, 4,477.59 and 793.61

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Solution

The fourth proportional to 2,984.93, 4,477.59 and 793.61 is: 1,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.93 : 4,477.59 = 793.61 : x
  2. Step 2: Convert to fraction form
    2,984.93/4,477.59 = 793.61/x
  3. Step 3: Cross multiply
    2,984.93x = 4,477.59 × 793.61
  4. Step 4: Simplify right side
    2,984.93x = 3,553,437.81
  5. Step 5: Solve for x
    x = 3,553,437.81/2,984.93
  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.