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Finding the Fourth Proportional to 2,678.67, 3,698.46 and 1,734.93

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Solution

The fourth proportional to 2,678.67, 3,698.46 and 1,734.93 is: 2,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.67 : 3,698.46 = 1,734.93 : x
  2. Step 2: Convert to fraction form
    2,678.67/3,698.46 = 1,734.93/x
  3. Step 3: Cross multiply
    2,678.67x = 3,698.46 × 1,734.93
  4. Step 4: Simplify right side
    2,678.67x = 6,416,569.21
  5. Step 5: Solve for x
    x = 6,416,569.21/2,678.67
  6. Step 6: Final answer
    x = 2,395.43

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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.