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Finding the Fourth Proportional to 2,111.08, 3,163.02 and 1,648.68

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Solution

The fourth proportional to 2,111.08, 3,163.02 and 1,648.68 is: 2,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.08 : 3,163.02 = 1,648.68 : x
  2. Step 2: Convert to fraction form
    2,111.08/3,163.02 = 1,648.68/x
  3. Step 3: Cross multiply
    2,111.08x = 3,163.02 × 1,648.68
  4. Step 4: Simplify right side
    2,111.08x = 5,214,807.81
  5. Step 5: Solve for x
    x = 5,214,807.81/2,111.08
  6. Step 6: Final answer
    x = 2,470.21

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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.