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Finding the Fourth Proportional to 4,506.89, 6,759.50 and 1,219.56

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Solution

The fourth proportional to 4,506.89, 6,759.50 and 1,219.56 is: 1,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.89 : 6,759.50 = 1,219.56 : x
  2. Step 2: Convert to fraction form
    4,506.89/6,759.50 = 1,219.56/x
  3. Step 3: Cross multiply
    4,506.89x = 6,759.50 × 1,219.56
  4. Step 4: Simplify right side
    4,506.89x = 8,243,591.23
  5. Step 5: Solve for x
    x = 8,243,591.23/4,506.89
  6. Step 6: Final answer
    x = 1,829.11

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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.