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Finding the Fourth Proportional to 2,353.64, 3,246.22 and 1,723.94

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Solution

The fourth proportional to 2,353.64, 3,246.22 and 1,723.94 is: 2,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.64 : 3,246.22 = 1,723.94 : x
  2. Step 2: Convert to fraction form
    2,353.64/3,246.22 = 1,723.94/x
  3. Step 3: Cross multiply
    2,353.64x = 3,246.22 × 1,723.94
  4. Step 4: Simplify right side
    2,353.64x = 5,596,276.91
  5. Step 5: Solve for x
    x = 5,596,276.91/2,353.64
  6. Step 6: Final answer
    x = 2,377.71

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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.