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Finding the Fourth Proportional to 4,177.88, 6,266.93 and 1,404.65

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Solution

The fourth proportional to 4,177.88, 6,266.93 and 1,404.65 is: 2,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.88 : 6,266.93 = 1,404.65 : x
  2. Step 2: Convert to fraction form
    4,177.88/6,266.93 = 1,404.65/x
  3. Step 3: Cross multiply
    4,177.88x = 6,266.93 × 1,404.65
  4. Step 4: Simplify right side
    4,177.88x = 8,802,843.22
  5. Step 5: Solve for x
    x = 8,802,843.22/4,177.88
  6. Step 6: Final answer
    x = 2,107.01

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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.