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Finding the Fourth Proportional to 2,354.70, 3,242.09 and 1,999.88

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Solution

The fourth proportional to 2,354.70, 3,242.09 and 1,999.88 is: 2,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.70 : 3,242.09 = 1,999.88 : x
  2. Step 2: Convert to fraction form
    2,354.70/3,242.09 = 1,999.88/x
  3. Step 3: Cross multiply
    2,354.70x = 3,242.09 × 1,999.88
  4. Step 4: Simplify right side
    2,354.70x = 6,483,764.74
  5. Step 5: Solve for x
    x = 6,483,764.74/2,354.70
  6. Step 6: Final answer
    x = 2,753.54

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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.