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Finding the Fourth Proportional to 2,906.74, 4,352.12 and 2,030.12

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Solution

The fourth proportional to 2,906.74, 4,352.12 and 2,030.12 is: 3,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.74 : 4,352.12 = 2,030.12 : x
  2. Step 2: Convert to fraction form
    2,906.74/4,352.12 = 2,030.12/x
  3. Step 3: Cross multiply
    2,906.74x = 4,352.12 × 2,030.12
  4. Step 4: Simplify right side
    2,906.74x = 8,835,325.85
  5. Step 5: Solve for x
    x = 8,835,325.85/2,906.74
  6. Step 6: Final answer
    x = 3,039.60

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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.