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Finding the Fourth Proportional to 4,113.48, 6,170.34 and 1,340.48

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Solution

The fourth proportional to 4,113.48, 6,170.34 and 1,340.48 is: 2,010.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.48 : 6,170.34 = 1,340.48 : x
  2. Step 2: Convert to fraction form
    4,113.48/6,170.34 = 1,340.48/x
  3. Step 3: Cross multiply
    4,113.48x = 6,170.34 × 1,340.48
  4. Step 4: Simplify right side
    4,113.48x = 8,271,237.82
  5. Step 5: Solve for x
    x = 8,271,237.82/4,113.48
  6. Step 6: Final answer
    x = 2,010.76

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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.