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Finding the Fourth Proportional to 3,074.63, 4,612.34 and 1,343.66

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Solution

The fourth proportional to 3,074.63, 4,612.34 and 1,343.66 is: 2,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.63 : 4,612.34 = 1,343.66 : x
  2. Step 2: Convert to fraction form
    3,074.63/4,612.34 = 1,343.66/x
  3. Step 3: Cross multiply
    3,074.63x = 4,612.34 × 1,343.66
  4. Step 4: Simplify right side
    3,074.63x = 6,197,397.06
  5. Step 5: Solve for x
    x = 6,197,397.06/3,074.63
  6. Step 6: Final answer
    x = 2,015.66

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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.