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Finding the Fourth Proportional to 2,994.80, 4,462.09 and 2,827.13

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Solution

The fourth proportional to 2,994.80, 4,462.09 and 2,827.13 is: 4,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.80 : 4,462.09 = 2,827.13 : x
  2. Step 2: Convert to fraction form
    2,994.80/4,462.09 = 2,827.13/x
  3. Step 3: Cross multiply
    2,994.80x = 4,462.09 × 2,827.13
  4. Step 4: Simplify right side
    2,994.80x = 12,614,879.12
  5. Step 5: Solve for x
    x = 12,614,879.12/2,994.80
  6. Step 6: Final answer
    x = 4,212.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.