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Finding the Fourth Proportional to 3,297.84, 4,946.80 and 989.20

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Solution

The fourth proportional to 3,297.84, 4,946.80 and 989.20 is: 1,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.84 : 4,946.80 = 989.20 : x
  2. Step 2: Convert to fraction form
    3,297.84/4,946.80 = 989.20/x
  3. Step 3: Cross multiply
    3,297.84x = 4,946.80 × 989.20
  4. Step 4: Simplify right side
    3,297.84x = 4,893,374.56
  5. Step 5: Solve for x
    x = 4,893,374.56/3,297.84
  6. Step 6: Final answer
    x = 1,483.81

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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.