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Finding the Fourth Proportional to 2,471.16, 3,706.75 and 622.28

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Solution

The fourth proportional to 2,471.16, 3,706.75 and 622.28 is: 933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.16 : 3,706.75 = 622.28 : x
  2. Step 2: Convert to fraction form
    2,471.16/3,706.75 = 622.28/x
  3. Step 3: Cross multiply
    2,471.16x = 3,706.75 × 622.28
  4. Step 4: Simplify right side
    2,471.16x = 2,306,625.57
  5. Step 5: Solve for x
    x = 2,306,625.57/2,471.16
  6. Step 6: Final answer
    x = 933.42

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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.