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Finding the Fourth Proportional to 2,333.89, 3,502.05 and 2,199.43

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Solution

The fourth proportional to 2,333.89, 3,502.05 and 2,199.43 is: 3,300.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.89 : 3,502.05 = 2,199.43 : x
  2. Step 2: Convert to fraction form
    2,333.89/3,502.05 = 2,199.43/x
  3. Step 3: Cross multiply
    2,333.89x = 3,502.05 × 2,199.43
  4. Step 4: Simplify right side
    2,333.89x = 7,702,513.83
  5. Step 5: Solve for x
    x = 7,702,513.83/2,333.89
  6. Step 6: Final answer
    x = 3,300.29

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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.