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Finding the Fourth Proportional to 3,297.34, 4,946.74 and 1,106.00

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Solution

The fourth proportional to 3,297.34, 4,946.74 and 1,106.00 is: 1,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.34 : 4,946.74 = 1,106.00 : x
  2. Step 2: Convert to fraction form
    3,297.34/4,946.74 = 1,106.00/x
  3. Step 3: Cross multiply
    3,297.34x = 4,946.74 × 1,106.00
  4. Step 4: Simplify right side
    3,297.34x = 5,471,104.04
  5. Step 5: Solve for x
    x = 5,471,104.04/3,297.34
  6. Step 6: Final answer
    x = 1,659.25

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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.