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Finding the Fourth Proportional to 1,723.02, 2,584.53 and 857.94

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Solution

The fourth proportional to 1,723.02, 2,584.53 and 857.94 is: 1,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.02 : 2,584.53 = 857.94 : x
  2. Step 2: Convert to fraction form
    1,723.02/2,584.53 = 857.94/x
  3. Step 3: Cross multiply
    1,723.02x = 2,584.53 × 857.94
  4. Step 4: Simplify right side
    1,723.02x = 2,217,371.67
  5. Step 5: Solve for x
    x = 2,217,371.67/1,723.02
  6. Step 6: Final answer
    x = 1,286.91

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Similar ratio
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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.