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Finding the Fourth Proportional to 3,297.36, 4,946.58 and 1,448.40

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Solution

The fourth proportional to 3,297.36, 4,946.58 and 1,448.40 is: 2,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.36 : 4,946.58 = 1,448.40 : x
  2. Step 2: Convert to fraction form
    3,297.36/4,946.58 = 1,448.40/x
  3. Step 3: Cross multiply
    3,297.36x = 4,946.58 × 1,448.40
  4. Step 4: Simplify right side
    3,297.36x = 7,164,626.47
  5. Step 5: Solve for x
    x = 7,164,626.47/3,297.36
  6. Step 6: Final answer
    x = 2,172.84

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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.