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Finding the Fourth Proportional to 2,633.64, 3,950.42 and 784.76

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Solution

The fourth proportional to 2,633.64, 3,950.42 and 784.76 is: 1,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.64 : 3,950.42 = 784.76 : x
  2. Step 2: Convert to fraction form
    2,633.64/3,950.42 = 784.76/x
  3. Step 3: Cross multiply
    2,633.64x = 3,950.42 × 784.76
  4. Step 4: Simplify right side
    2,633.64x = 3,100,122.74
  5. Step 5: Solve for x
    x = 3,100,122.74/2,633.64
  6. Step 6: Final answer
    x = 1,177.13

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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.