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Finding the Fourth Proportional to 2,296.74, 3,169.02 and 1,626.54

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Solution

The fourth proportional to 2,296.74, 3,169.02 and 1,626.54 is: 2,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.74 : 3,169.02 = 1,626.54 : x
  2. Step 2: Convert to fraction form
    2,296.74/3,169.02 = 1,626.54/x
  3. Step 3: Cross multiply
    2,296.74x = 3,169.02 × 1,626.54
  4. Step 4: Simplify right side
    2,296.74x = 5,154,537.79
  5. Step 5: Solve for x
    x = 5,154,537.79/2,296.74
  6. Step 6: Final answer
    x = 2,244.28

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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.