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Finding the Fourth Proportional to 3,102.40, 4,648.20 and 1,946.80

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Solution

The fourth proportional to 3,102.40, 4,648.20 and 1,946.80 is: 2,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.40 : 4,648.20 = 1,946.80 : x
  2. Step 2: Convert to fraction form
    3,102.40/4,648.20 = 1,946.80/x
  3. Step 3: Cross multiply
    3,102.40x = 4,648.20 × 1,946.80
  4. Step 4: Simplify right side
    3,102.40x = 9,049,115.76
  5. Step 5: Solve for x
    x = 9,049,115.76/3,102.40
  6. Step 6: Final answer
    x = 2,916.81

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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.