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Finding the Fourth Proportional to 2,698.74, 4,049.18 and 1,774.14

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Solution

The fourth proportional to 2,698.74, 4,049.18 and 1,774.14 is: 2,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.74 : 4,049.18 = 1,774.14 : x
  2. Step 2: Convert to fraction form
    2,698.74/4,049.18 = 1,774.14/x
  3. Step 3: Cross multiply
    2,698.74x = 4,049.18 × 1,774.14
  4. Step 4: Simplify right side
    2,698.74x = 7,183,812.21
  5. Step 5: Solve for x
    x = 7,183,812.21/2,698.74
  6. Step 6: Final answer
    x = 2,661.91

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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.