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Finding the Fourth Proportional to 2,391.96, 3,586.28 and 1,219.69

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Solution

The fourth proportional to 2,391.96, 3,586.28 and 1,219.69 is: 1,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.96 : 3,586.28 = 1,219.69 : x
  2. Step 2: Convert to fraction form
    2,391.96/3,586.28 = 1,219.69/x
  3. Step 3: Cross multiply
    2,391.96x = 3,586.28 × 1,219.69
  4. Step 4: Simplify right side
    2,391.96x = 4,374,131.92
  5. Step 5: Solve for x
    x = 4,374,131.92/2,391.96
  6. Step 6: Final answer
    x = 1,828.68

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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.