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Finding the Fourth Proportional to 2,169.01, 2,992.93 and 1,224.75

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Solution

The fourth proportional to 2,169.01, 2,992.93 and 1,224.75 is: 1,689.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.01 : 2,992.93 = 1,224.75 : x
  2. Step 2: Convert to fraction form
    2,169.01/2,992.93 = 1,224.75/x
  3. Step 3: Cross multiply
    2,169.01x = 2,992.93 × 1,224.75
  4. Step 4: Simplify right side
    2,169.01x = 3,665,591.02
  5. Step 5: Solve for x
    x = 3,665,591.02/2,169.01
  6. Step 6: Final answer
    x = 1,689.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.