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Finding the Fourth Proportional to 1,722.67, 2,584.14 and 856.51

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Solution

The fourth proportional to 1,722.67, 2,584.14 and 856.51 is: 1,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.67 : 2,584.14 = 856.51 : x
  2. Step 2: Convert to fraction form
    1,722.67/2,584.14 = 856.51/x
  3. Step 3: Cross multiply
    1,722.67x = 2,584.14 × 856.51
  4. Step 4: Simplify right side
    1,722.67x = 2,213,341.75
  5. Step 5: Solve for x
    x = 2,213,341.75/1,722.67
  6. Step 6: Final answer
    x = 1,284.83

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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.