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Finding the Fourth Proportional to 3,105.80, 4,658.70 and 1,374.02

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Solution

The fourth proportional to 3,105.80, 4,658.70 and 1,374.02 is: 2,061.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.80 : 4,658.70 = 1,374.02 : x
  2. Step 2: Convert to fraction form
    3,105.80/4,658.70 = 1,374.02/x
  3. Step 3: Cross multiply
    3,105.80x = 4,658.70 × 1,374.02
  4. Step 4: Simplify right side
    3,105.80x = 6,401,146.97
  5. Step 5: Solve for x
    x = 6,401,146.97/3,105.80
  6. Step 6: Final answer
    x = 2,061.03

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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.