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Finding the Fourth Proportional to 2,107.78, 2,903.99 and 1,469.12

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Solution

The fourth proportional to 2,107.78, 2,903.99 and 1,469.12 is: 2,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.78 : 2,903.99 = 1,469.12 : x
  2. Step 2: Convert to fraction form
    2,107.78/2,903.99 = 1,469.12/x
  3. Step 3: Cross multiply
    2,107.78x = 2,903.99 × 1,469.12
  4. Step 4: Simplify right side
    2,107.78x = 4,266,287.92
  5. Step 5: Solve for x
    x = 4,266,287.92/2,107.78
  6. Step 6: Final answer
    x = 2,024.07

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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.