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Finding the Fourth Proportional to 2,607.68, 3,905.96 and 2,111.96

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Solution

The fourth proportional to 2,607.68, 3,905.96 and 2,111.96 is: 3,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.68 : 3,905.96 = 2,111.96 : x
  2. Step 2: Convert to fraction form
    2,607.68/3,905.96 = 2,111.96/x
  3. Step 3: Cross multiply
    2,607.68x = 3,905.96 × 2,111.96
  4. Step 4: Simplify right side
    2,607.68x = 8,249,231.28
  5. Step 5: Solve for x
    x = 8,249,231.28/2,607.68
  6. Step 6: Final answer
    x = 3,163.44

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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.