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Finding the Fourth Proportional to 3,102.63, 4,645.67 and 2,610.56

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Solution

The fourth proportional to 3,102.63, 4,645.67 and 2,610.56 is: 3,908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.63 : 4,645.67 = 2,610.56 : x
  2. Step 2: Convert to fraction form
    3,102.63/4,645.67 = 2,610.56/x
  3. Step 3: Cross multiply
    3,102.63x = 4,645.67 × 2,610.56
  4. Step 4: Simplify right side
    3,102.63x = 12,127,763.99
  5. Step 5: Solve for x
    x = 12,127,763.99/3,102.63
  6. Step 6: Final answer
    x = 3,908.87

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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.