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Finding the Fourth Proportional to 2,193.93, 3,028.34 and 1,746.62

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Solution

The fourth proportional to 2,193.93, 3,028.34 and 1,746.62 is: 2,410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.93 : 3,028.34 = 1,746.62 : x
  2. Step 2: Convert to fraction form
    2,193.93/3,028.34 = 1,746.62/x
  3. Step 3: Cross multiply
    2,193.93x = 3,028.34 × 1,746.62
  4. Step 4: Simplify right side
    2,193.93x = 5,289,371.15
  5. Step 5: Solve for x
    x = 5,289,371.15/2,193.93
  6. Step 6: Final answer
    x = 2,410.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.