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Finding the Fourth Proportional to 4,630.39, 6,946.66 and 1,343.54

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Solution

The fourth proportional to 4,630.39, 6,946.66 and 1,343.54 is: 2,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.39 : 6,946.66 = 1,343.54 : x
  2. Step 2: Convert to fraction form
    4,630.39/6,946.66 = 1,343.54/x
  3. Step 3: Cross multiply
    4,630.39x = 6,946.66 × 1,343.54
  4. Step 4: Simplify right side
    4,630.39x = 9,333,134.62
  5. Step 5: Solve for x
    x = 9,333,134.62/4,630.39
  6. Step 6: Final answer
    x = 2,015.63

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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.