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Finding the Fourth Proportional to 3,122.54, 4,683.30 and 1,042.46

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Solution

The fourth proportional to 3,122.54, 4,683.30 and 1,042.46 is: 1,563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.54 : 4,683.30 = 1,042.46 : x
  2. Step 2: Convert to fraction form
    3,122.54/4,683.30 = 1,042.46/x
  3. Step 3: Cross multiply
    3,122.54x = 4,683.30 × 1,042.46
  4. Step 4: Simplify right side
    3,122.54x = 4,882,152.92
  5. Step 5: Solve for x
    x = 4,882,152.92/3,122.54
  6. Step 6: Final answer
    x = 1,563.52

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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.