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Finding the Fourth Proportional to 3,297.59, 4,946.38 and 1,106.49

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Solution

The fourth proportional to 3,297.59, 4,946.38 and 1,106.49 is: 1,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.59 : 4,946.38 = 1,106.49 : x
  2. Step 2: Convert to fraction form
    3,297.59/4,946.38 = 1,106.49/x
  3. Step 3: Cross multiply
    3,297.59x = 4,946.38 × 1,106.49
  4. Step 4: Simplify right side
    3,297.59x = 5,473,095.61
  5. Step 5: Solve for x
    x = 5,473,095.61/3,297.59
  6. Step 6: Final answer
    x = 1,659.73

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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.