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Finding the Fourth Proportional to 3,184.74, 4,788.09 and 2,944.20

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Solution

The fourth proportional to 3,184.74, 4,788.09 and 2,944.20 is: 4,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.74 : 4,788.09 = 2,944.20 : x
  2. Step 2: Convert to fraction form
    3,184.74/4,788.09 = 2,944.20/x
  3. Step 3: Cross multiply
    3,184.74x = 4,788.09 × 2,944.20
  4. Step 4: Simplify right side
    3,184.74x = 14,097,094.58
  5. Step 5: Solve for x
    x = 14,097,094.58/3,184.74
  6. Step 6: Final answer
    x = 4,426.45

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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.