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Finding the Fourth Proportional to 3,055.98, 4,217.25 and 1,658.73

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Solution

The fourth proportional to 3,055.98, 4,217.25 and 1,658.73 is: 2,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.98 : 4,217.25 = 1,658.73 : x
  2. Step 2: Convert to fraction form
    3,055.98/4,217.25 = 1,658.73/x
  3. Step 3: Cross multiply
    3,055.98x = 4,217.25 × 1,658.73
  4. Step 4: Simplify right side
    3,055.98x = 6,995,279.09
  5. Step 5: Solve for x
    x = 6,995,279.09/3,055.98
  6. Step 6: Final answer
    x = 2,289.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.