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Finding the Fourth Proportional to 2,792.25, 3,853.31 and 1,550.25

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Solution

The fourth proportional to 2,792.25, 3,853.31 and 1,550.25 is: 2,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.25 : 3,853.31 = 1,550.25 : x
  2. Step 2: Convert to fraction form
    2,792.25/3,853.31 = 1,550.25/x
  3. Step 3: Cross multiply
    2,792.25x = 3,853.31 × 1,550.25
  4. Step 4: Simplify right side
    2,792.25x = 5,973,586.08
  5. Step 5: Solve for x
    x = 5,973,586.08/2,792.25
  6. Step 6: Final answer
    x = 2,139.35

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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.