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Finding the Fourth Proportional to 1,294.22, 1,786.41 and 1,228.11

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Solution

The fourth proportional to 1,294.22, 1,786.41 and 1,228.11 is: 1,695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.22 : 1,786.41 = 1,228.11 : x
  2. Step 2: Convert to fraction form
    1,294.22/1,786.41 = 1,228.11/x
  3. Step 3: Cross multiply
    1,294.22x = 1,786.41 × 1,228.11
  4. Step 4: Simplify right side
    1,294.22x = 2,193,899.05
  5. Step 5: Solve for x
    x = 2,193,899.05/1,294.22
  6. Step 6: Final answer
    x = 1,695.15

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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.