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Finding the Fourth Proportional to 3,055.94, 4,217.20 and 1,658.69

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Solution

The fourth proportional to 3,055.94, 4,217.20 and 1,658.69 is: 2,288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.94 : 4,217.20 = 1,658.69 : x
  2. Step 2: Convert to fraction form
    3,055.94/4,217.20 = 1,658.69/x
  3. Step 3: Cross multiply
    3,055.94x = 4,217.20 × 1,658.69
  4. Step 4: Simplify right side
    3,055.94x = 6,995,027.47
  5. Step 5: Solve for x
    x = 6,995,027.47/3,055.94
  6. Step 6: Final answer
    x = 2,288.99

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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.