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Finding the Fourth Proportional to 2,249.19, 3,102.98 and 1,409.67

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Solution

The fourth proportional to 2,249.19, 3,102.98 and 1,409.67 is: 1,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.19 : 3,102.98 = 1,409.67 : x
  2. Step 2: Convert to fraction form
    2,249.19/3,102.98 = 1,409.67/x
  3. Step 3: Cross multiply
    2,249.19x = 3,102.98 × 1,409.67
  4. Step 4: Simplify right side
    2,249.19x = 4,374,170.77
  5. Step 5: Solve for x
    x = 4,374,170.77/2,249.19
  6. Step 6: Final answer
    x = 1,944.78

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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.