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Finding the Fourth Proportional to 2,569.97, 3,854.94 and 622.17

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Solution

The fourth proportional to 2,569.97, 3,854.94 and 622.17 is: 933.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.97 : 3,854.94 = 622.17 : x
  2. Step 2: Convert to fraction form
    2,569.97/3,854.94 = 622.17/x
  3. Step 3: Cross multiply
    2,569.97x = 3,854.94 × 622.17
  4. Step 4: Simplify right side
    2,569.97x = 2,398,440.03
  5. Step 5: Solve for x
    x = 2,398,440.03/2,569.97
  6. Step 6: Final answer
    x = 933.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.