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Finding the Fourth Proportional to 3,055.89, 4,217.11 and 1,658.64

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Solution

The fourth proportional to 3,055.89, 4,217.11 and 1,658.64 is: 2,288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.89 : 4,217.11 = 1,658.64 : x
  2. Step 2: Convert to fraction form
    3,055.89/4,217.11 = 1,658.64/x
  3. Step 3: Cross multiply
    3,055.89x = 4,217.11 × 1,658.64
  4. Step 4: Simplify right side
    3,055.89x = 6,994,667.33
  5. Step 5: Solve for x
    x = 6,994,667.33/3,055.89
  6. Step 6: Final answer
    x = 2,288.91

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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.