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Finding the Fourth Proportional to 1,802.24, 2,474.24 and 1,626.56

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Solution

The fourth proportional to 1,802.24, 2,474.24 and 1,626.56 is: 2,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.24 : 2,474.24 = 1,626.56 : x
  2. Step 2: Convert to fraction form
    1,802.24/2,474.24 = 1,626.56/x
  3. Step 3: Cross multiply
    1,802.24x = 2,474.24 × 1,626.56
  4. Step 4: Simplify right side
    1,802.24x = 4,024,499.81
  5. Step 5: Solve for x
    x = 4,024,499.81/1,802.24
  6. Step 6: Final answer
    x = 2,233.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.