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Finding the Fourth Proportional to 1,722.28, 2,581.44 and 795.90

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Solution

The fourth proportional to 1,722.28, 2,581.44 and 795.90 is: 1,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.28 : 2,581.44 = 795.90 : x
  2. Step 2: Convert to fraction form
    1,722.28/2,581.44 = 795.90/x
  3. Step 3: Cross multiply
    1,722.28x = 2,581.44 × 795.90
  4. Step 4: Simplify right side
    1,722.28x = 2,054,557.18
  5. Step 5: Solve for x
    x = 2,054,557.18/1,722.28
  6. Step 6: Final answer
    x = 1,192.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.