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Finding the Fourth Proportional to 1,946.47, 2,930.09 and 1,745.54

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Solution

The fourth proportional to 1,946.47, 2,930.09 and 1,745.54 is: 2,627.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.47 : 2,930.09 = 1,745.54 : x
  2. Step 2: Convert to fraction form
    1,946.47/2,930.09 = 1,745.54/x
  3. Step 3: Cross multiply
    1,946.47x = 2,930.09 × 1,745.54
  4. Step 4: Simplify right side
    1,946.47x = 5,114,565.92
  5. Step 5: Solve for x
    x = 5,114,565.92/1,946.47
  6. Step 6: Final answer
    x = 2,627.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.