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Finding the Fourth Proportional to 2,296.78, 3,169.74 and 1,302.22

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Solution

The fourth proportional to 2,296.78, 3,169.74 and 1,302.22 is: 1,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.78 : 3,169.74 = 1,302.22 : x
  2. Step 2: Convert to fraction form
    2,296.78/3,169.74 = 1,302.22/x
  3. Step 3: Cross multiply
    2,296.78x = 3,169.74 × 1,302.22
  4. Step 4: Simplify right side
    2,296.78x = 4,127,698.82
  5. Step 5: Solve for x
    x = 4,127,698.82/2,296.78
  6. Step 6: Final answer
    x = 1,797.17

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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.