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Finding the Fourth Proportional to 4,506.39, 6,759.56 and 1,219.48

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Solution

The fourth proportional to 4,506.39, 6,759.56 and 1,219.48 is: 1,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.39 : 6,759.56 = 1,219.48 : x
  2. Step 2: Convert to fraction form
    4,506.39/6,759.56 = 1,219.48/x
  3. Step 3: Cross multiply
    4,506.39x = 6,759.56 × 1,219.48
  4. Step 4: Simplify right side
    4,506.39x = 8,243,148.23
  5. Step 5: Solve for x
    x = 8,243,148.23/4,506.39
  6. Step 6: Final answer
    x = 1,829.21

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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.