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Finding the Fourth Proportional to 2,169.94, 2,996.25 and 2,004.10

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Solution

The fourth proportional to 2,169.94, 2,996.25 and 2,004.10 is: 2,767.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.94 : 2,996.25 = 2,004.10 : x
  2. Step 2: Convert to fraction form
    2,169.94/2,996.25 = 2,004.10/x
  3. Step 3: Cross multiply
    2,169.94x = 2,996.25 × 2,004.10
  4. Step 4: Simplify right side
    2,169.94x = 6,004,784.63
  5. Step 5: Solve for x
    x = 6,004,784.63/2,169.94
  6. Step 6: Final answer
    x = 2,767.26

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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.