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Finding the Fourth Proportional to 4,506.50, 6,759.66 and 2,040.86

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Solution

The fourth proportional to 4,506.50, 6,759.66 and 2,040.86 is: 3,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.50 : 6,759.66 = 2,040.86 : x
  2. Step 2: Convert to fraction form
    4,506.50/6,759.66 = 2,040.86/x
  3. Step 3: Cross multiply
    4,506.50x = 6,759.66 × 2,040.86
  4. Step 4: Simplify right side
    4,506.50x = 13,795,519.71
  5. Step 5: Solve for x
    x = 13,795,519.71/4,506.50
  6. Step 6: Final answer
    x = 3,061.25

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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.