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Finding the Fourth Proportional to 2,610.79, 3,606.34 and 1,946.49

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Solution

The fourth proportional to 2,610.79, 3,606.34 and 1,946.49 is: 2,688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.79 : 3,606.34 = 1,946.49 : x
  2. Step 2: Convert to fraction form
    2,610.79/3,606.34 = 1,946.49/x
  3. Step 3: Cross multiply
    2,610.79x = 3,606.34 × 1,946.49
  4. Step 4: Simplify right side
    2,610.79x = 7,019,704.75
  5. Step 5: Solve for x
    x = 7,019,704.75/2,610.79
  6. Step 6: Final answer
    x = 2,688.73

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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.