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Finding the Fourth Proportional to 2,811.96, 4,212.66 and 2,352.68

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Solution

The fourth proportional to 2,811.96, 4,212.66 and 2,352.68 is: 3,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.96 : 4,212.66 = 2,352.68 : x
  2. Step 2: Convert to fraction form
    2,811.96/4,212.66 = 2,352.68/x
  3. Step 3: Cross multiply
    2,811.96x = 4,212.66 × 2,352.68
  4. Step 4: Simplify right side
    2,811.96x = 9,911,040.93
  5. Step 5: Solve for x
    x = 9,911,040.93/2,811.96
  6. Step 6: Final answer
    x = 3,524.60

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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.