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Finding the Fourth Proportional to 3,138.44, 4,706.05 and 1,658.45

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Solution

The fourth proportional to 3,138.44, 4,706.05 and 1,658.45 is: 2,486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.44 : 4,706.05 = 1,658.45 : x
  2. Step 2: Convert to fraction form
    3,138.44/4,706.05 = 1,658.45/x
  3. Step 3: Cross multiply
    3,138.44x = 4,706.05 × 1,658.45
  4. Step 4: Simplify right side
    3,138.44x = 7,804,756.24
  5. Step 5: Solve for x
    x = 7,804,756.24/3,138.44
  6. Step 6: Final answer
    x = 2,486.83

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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.