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Finding the Fourth Proportional to 3,297.84, 4,945.74 and 1,106.06

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Solution

The fourth proportional to 3,297.84, 4,945.74 and 1,106.06 is: 1,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.84 : 4,945.74 = 1,106.06 : x
  2. Step 2: Convert to fraction form
    3,297.84/4,945.74 = 1,106.06/x
  3. Step 3: Cross multiply
    3,297.84x = 4,945.74 × 1,106.06
  4. Step 4: Simplify right side
    3,297.84x = 5,470,285.18
  5. Step 5: Solve for x
    x = 5,470,285.18/3,297.84
  6. Step 6: Final answer
    x = 1,658.75

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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.