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Finding the Fourth Proportional to 2,160.31, 3,242.07 and 1,606.31

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Solution

The fourth proportional to 2,160.31, 3,242.07 and 1,606.31 is: 2,410.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.31 : 3,242.07 = 1,606.31 : x
  2. Step 2: Convert to fraction form
    2,160.31/3,242.07 = 1,606.31/x
  3. Step 3: Cross multiply
    2,160.31x = 3,242.07 × 1,606.31
  4. Step 4: Simplify right side
    2,160.31x = 5,207,769.46
  5. Step 5: Solve for x
    x = 5,207,769.46/2,160.31
  6. Step 6: Final answer
    x = 2,410.66

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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.