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Finding the Fourth Proportional to 1,784.24, 2,674.04 and 961.55

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Solution

The fourth proportional to 1,784.24, 2,674.04 and 961.55 is: 1,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.24 : 2,674.04 = 961.55 : x
  2. Step 2: Convert to fraction form
    1,784.24/2,674.04 = 961.55/x
  3. Step 3: Cross multiply
    1,784.24x = 2,674.04 × 961.55
  4. Step 4: Simplify right side
    1,784.24x = 2,571,215.01
  5. Step 5: Solve for x
    x = 2,571,215.01/1,784.24
  6. Step 6: Final answer
    x = 1,441.07

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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.