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Finding the Fourth Proportional to 2,321.84, 3,477.36 and 1,661.96

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Solution

The fourth proportional to 2,321.84, 3,477.36 and 1,661.96 is: 2,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.84 : 3,477.36 = 1,661.96 : x
  2. Step 2: Convert to fraction form
    2,321.84/3,477.36 = 1,661.96/x
  3. Step 3: Cross multiply
    2,321.84x = 3,477.36 × 1,661.96
  4. Step 4: Simplify right side
    2,321.84x = 5,779,233.23
  5. Step 5: Solve for x
    x = 5,779,233.23/2,321.84
  6. Step 6: Final answer
    x = 2,489.07

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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.