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Finding the Fourth Proportional to 3,297.66, 4,948.44 and 1,219.12

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Solution

The fourth proportional to 3,297.66, 4,948.44 and 1,219.12 is: 1,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.66 : 4,948.44 = 1,219.12 : x
  2. Step 2: Convert to fraction form
    3,297.66/4,948.44 = 1,219.12/x
  3. Step 3: Cross multiply
    3,297.66x = 4,948.44 × 1,219.12
  4. Step 4: Simplify right side
    3,297.66x = 6,032,742.17
  5. Step 5: Solve for x
    x = 6,032,742.17/3,297.66
  6. Step 6: Final answer
    x = 1,829.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.