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Finding the Fourth Proportional to 4,630.47, 6,945.72 and 1,343.55

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Solution

The fourth proportional to 4,630.47, 6,945.72 and 1,343.55 is: 2,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.47 : 6,945.72 = 1,343.55 : x
  2. Step 2: Convert to fraction form
    4,630.47/6,945.72 = 1,343.55/x
  3. Step 3: Cross multiply
    4,630.47x = 6,945.72 × 1,343.55
  4. Step 4: Simplify right side
    4,630.47x = 9,331,922.11
  5. Step 5: Solve for x
    x = 9,331,922.11/4,630.47
  6. Step 6: Final answer
    x = 2,015.33

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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.