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Finding the Fourth Proportional to 2,633.12, 3,949.64 and 784.25

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Solution

The fourth proportional to 2,633.12, 3,949.64 and 784.25 is: 1,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.12 : 3,949.64 = 784.25 : x
  2. Step 2: Convert to fraction form
    2,633.12/3,949.64 = 784.25/x
  3. Step 3: Cross multiply
    2,633.12x = 3,949.64 × 784.25
  4. Step 4: Simplify right side
    2,633.12x = 3,097,484.44
  5. Step 5: Solve for x
    x = 3,097,484.44/2,633.12
  6. Step 6: Final answer
    x = 1,176.36

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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.