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Finding the Fourth Proportional to 2,315.22, 3,471.61 and 1,736.88

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Solution

The fourth proportional to 2,315.22, 3,471.61 and 1,736.88 is: 2,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.22 : 3,471.61 = 1,736.88 : x
  2. Step 2: Convert to fraction form
    2,315.22/3,471.61 = 1,736.88/x
  3. Step 3: Cross multiply
    2,315.22x = 3,471.61 × 1,736.88
  4. Step 4: Simplify right side
    2,315.22x = 6,029,769.98
  5. Step 5: Solve for x
    x = 6,029,769.98/2,315.22
  6. Step 6: Final answer
    x = 2,604.40

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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.