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Finding the Fourth Proportional to 2,199.89, 3,032.43 and 1,639.50

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Solution

The fourth proportional to 2,199.89, 3,032.43 and 1,639.50 is: 2,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.89 : 3,032.43 = 1,639.50 : x
  2. Step 2: Convert to fraction form
    2,199.89/3,032.43 = 1,639.50/x
  3. Step 3: Cross multiply
    2,199.89x = 3,032.43 × 1,639.50
  4. Step 4: Simplify right side
    2,199.89x = 4,971,668.99
  5. Step 5: Solve for x
    x = 4,971,668.99/2,199.89
  6. Step 6: Final answer
    x = 2,259.97

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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.