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Finding the Fourth Proportional to 3,415.48, 5,120.69 and 1,334.42

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Solution

The fourth proportional to 3,415.48, 5,120.69 and 1,334.42 is: 2,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.48 : 5,120.69 = 1,334.42 : x
  2. Step 2: Convert to fraction form
    3,415.48/5,120.69 = 1,334.42/x
  3. Step 3: Cross multiply
    3,415.48x = 5,120.69 × 1,334.42
  4. Step 4: Simplify right side
    3,415.48x = 6,833,166.88
  5. Step 5: Solve for x
    x = 6,833,166.88/3,415.48
  6. Step 6: Final answer
    x = 2,000.64

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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.