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Finding the Fourth Proportional to 3,105.60, 4,658.40 and 2,704.65

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Solution

The fourth proportional to 3,105.60, 4,658.40 and 2,704.65 is: 4,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.60 : 4,658.40 = 2,704.65 : x
  2. Step 2: Convert to fraction form
    3,105.60/4,658.40 = 2,704.65/x
  3. Step 3: Cross multiply
    3,105.60x = 4,658.40 × 2,704.65
  4. Step 4: Simplify right side
    3,105.60x = 12,599,341.56
  5. Step 5: Solve for x
    x = 12,599,341.56/3,105.60
  6. Step 6: Final answer
    x = 4,056.98

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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.