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Finding the Fourth Proportional to 2,471.82, 3,707.56 and 622.95

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Solution

The fourth proportional to 2,471.82, 3,707.56 and 622.95 is: 934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.82 : 3,707.56 = 622.95 : x
  2. Step 2: Convert to fraction form
    2,471.82/3,707.56 = 622.95/x
  3. Step 3: Cross multiply
    2,471.82x = 3,707.56 × 622.95
  4. Step 4: Simplify right side
    2,471.82x = 2,309,624.50
  5. Step 5: Solve for x
    x = 2,309,624.50/2,471.82
  6. Step 6: Final answer
    x = 934.38

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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.