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Finding the Fourth Proportional to 3,074.85, 4,608.63 and 2,342.16

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Solution

The fourth proportional to 3,074.85, 4,608.63 and 2,342.16 is: 3,510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.85 : 4,608.63 = 2,342.16 : x
  2. Step 2: Convert to fraction form
    3,074.85/4,608.63 = 2,342.16/x
  3. Step 3: Cross multiply
    3,074.85x = 4,608.63 × 2,342.16
  4. Step 4: Simplify right side
    3,074.85x = 10,794,148.84
  5. Step 5: Solve for x
    x = 10,794,148.84/3,074.85
  6. Step 6: Final answer
    x = 3,510.46

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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.