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Finding the Fourth Proportional to 3,415.06, 5,122.32 and 1,334.67

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Solution

The fourth proportional to 3,415.06, 5,122.32 and 1,334.67 is: 2,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.06 : 5,122.32 = 1,334.67 : x
  2. Step 2: Convert to fraction form
    3,415.06/5,122.32 = 1,334.67/x
  3. Step 3: Cross multiply
    3,415.06x = 5,122.32 × 1,334.67
  4. Step 4: Simplify right side
    3,415.06x = 6,836,606.83
  5. Step 5: Solve for x
    x = 6,836,606.83/3,415.06
  6. Step 6: Final answer
    x = 2,001.90

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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.