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Finding the Fourth Proportional to 4,661.67, 6,993.72 and 1,740

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Solution

The fourth proportional to 4,661.67, 6,993.72 and 1,740 is: 2,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.67 : 6,993.72 = 1,740 : x
  2. Step 2: Convert to fraction form
    4,661.67/6,993.72 = 1,740/x
  3. Step 3: Cross multiply
    4,661.67x = 6,993.72 × 1,740
  4. Step 4: Simplify right side
    4,661.67x = 12,169,072.80
  5. Step 5: Solve for x
    x = 12,169,072.80/4,661.67
  6. Step 6: Final answer
    x = 2,610.45

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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.