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Finding the Fourth Proportional to 3,223.67, 4,833.68 and 1,580.99

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Solution

The fourth proportional to 3,223.67, 4,833.68 and 1,580.99 is: 2,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.67 : 4,833.68 = 1,580.99 : x
  2. Step 2: Convert to fraction form
    3,223.67/4,833.68 = 1,580.99/x
  3. Step 3: Cross multiply
    3,223.67x = 4,833.68 × 1,580.99
  4. Step 4: Simplify right side
    3,223.67x = 7,641,967.67
  5. Step 5: Solve for x
    x = 7,641,967.67/3,223.67
  6. Step 6: Final answer
    x = 2,370.58

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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.