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Finding the Fourth Proportional to 3,044.34, 4,201.23 and 1,699.89

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Solution

The fourth proportional to 3,044.34, 4,201.23 and 1,699.89 is: 2,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.34 : 4,201.23 = 1,699.89 : x
  2. Step 2: Convert to fraction form
    3,044.34/4,201.23 = 1,699.89/x
  3. Step 3: Cross multiply
    3,044.34x = 4,201.23 × 1,699.89
  4. Step 4: Simplify right side
    3,044.34x = 7,141,628.86
  5. Step 5: Solve for x
    x = 7,141,628.86/3,044.34
  6. Step 6: Final answer
    x = 2,345.87

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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.