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Finding the Fourth Proportional to 2,161.89, 3,242.31 and 929.88

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Solution

The fourth proportional to 2,161.89, 3,242.31 and 929.88 is: 1,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.89 : 3,242.31 = 929.88 : x
  2. Step 2: Convert to fraction form
    2,161.89/3,242.31 = 929.88/x
  3. Step 3: Cross multiply
    2,161.89x = 3,242.31 × 929.88
  4. Step 4: Simplify right side
    2,161.89x = 3,014,959.22
  5. Step 5: Solve for x
    x = 3,014,959.22/2,161.89
  6. Step 6: Final answer
    x = 1,394.59

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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.