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Finding the Fourth Proportional to 3,084.63, 4,626.94 and 1,032.63

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Solution

The fourth proportional to 3,084.63, 4,626.94 and 1,032.63 is: 1,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.63 : 4,626.94 = 1,032.63 : x
  2. Step 2: Convert to fraction form
    3,084.63/4,626.94 = 1,032.63/x
  3. Step 3: Cross multiply
    3,084.63x = 4,626.94 × 1,032.63
  4. Step 4: Simplify right side
    3,084.63x = 4,777,917.05
  5. Step 5: Solve for x
    x = 4,777,917.05/3,084.63
  6. Step 6: Final answer
    x = 1,548.94

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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.