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Finding the Fourth Proportional to 1,722.96, 2,377.22 and 1,133.69

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Solution

The fourth proportional to 1,722.96, 2,377.22 and 1,133.69 is: 1,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.96 : 2,377.22 = 1,133.69 : x
  2. Step 2: Convert to fraction form
    1,722.96/2,377.22 = 1,133.69/x
  3. Step 3: Cross multiply
    1,722.96x = 2,377.22 × 1,133.69
  4. Step 4: Simplify right side
    1,722.96x = 2,695,012.99
  5. Step 5: Solve for x
    x = 2,695,012.99/1,722.96
  6. Step 6: Final answer
    x = 1,564.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.