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Finding the Fourth Proportional to 3,055.85, 4,217.12 and 1,658.60

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Solution

The fourth proportional to 3,055.85, 4,217.12 and 1,658.60 is: 2,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.85 : 4,217.12 = 1,658.60 : x
  2. Step 2: Convert to fraction form
    3,055.85/4,217.12 = 1,658.60/x
  3. Step 3: Cross multiply
    3,055.85x = 4,217.12 × 1,658.60
  4. Step 4: Simplify right side
    3,055.85x = 6,994,485.85
  5. Step 5: Solve for x
    x = 6,994,485.85/3,055.85
  6. Step 6: Final answer
    x = 2,288.89

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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.