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Finding the Fourth Proportional to 2,986.08, 4,478.62 and 794.84

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Solution

The fourth proportional to 2,986.08, 4,478.62 and 794.84 is: 1,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.08 : 4,478.62 = 794.84 : x
  2. Step 2: Convert to fraction form
    2,986.08/4,478.62 = 794.84/x
  3. Step 3: Cross multiply
    2,986.08x = 4,478.62 × 794.84
  4. Step 4: Simplify right side
    2,986.08x = 3,559,786.32
  5. Step 5: Solve for x
    x = 3,559,786.32/2,986.08
  6. Step 6: Final answer
    x = 1,192.13

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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.