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Finding the Fourth Proportional to 4,454.50, 6,681.23 and 1,167.85

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Solution

The fourth proportional to 4,454.50, 6,681.23 and 1,167.85 is: 1,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.50 : 6,681.23 = 1,167.85 : x
  2. Step 2: Convert to fraction form
    4,454.50/6,681.23 = 1,167.85/x
  3. Step 3: Cross multiply
    4,454.50x = 6,681.23 × 1,167.85
  4. Step 4: Simplify right side
    4,454.50x = 7,802,685.73
  5. Step 5: Solve for x
    x = 7,802,685.73/4,454.50
  6. Step 6: Final answer
    x = 1,751.64

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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.