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Finding the Fourth Proportional to 2,247.93, 3,102.21 and 1,409.04

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Solution

The fourth proportional to 2,247.93, 3,102.21 and 1,409.04 is: 1,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.93 : 3,102.21 = 1,409.04 : x
  2. Step 2: Convert to fraction form
    2,247.93/3,102.21 = 1,409.04/x
  3. Step 3: Cross multiply
    2,247.93x = 3,102.21 × 1,409.04
  4. Step 4: Simplify right side
    2,247.93x = 4,371,137.98
  5. Step 5: Solve for x
    x = 4,371,137.98/2,247.93
  6. Step 6: Final answer
    x = 1,944.52

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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.