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Finding the Fourth Proportional to 6,681.80, 10,022.70 and 2,297.80

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Solution

The fourth proportional to 6,681.80, 10,022.70 and 2,297.80 is: 3,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.80 : 10,022.70 = 2,297.80 : x
  2. Step 2: Convert to fraction form
    6,681.80/10,022.70 = 2,297.80/x
  3. Step 3: Cross multiply
    6,681.80x = 10,022.70 × 2,297.80
  4. Step 4: Simplify right side
    6,681.80x = 23,030,160.06
  5. Step 5: Solve for x
    x = 23,030,160.06/6,681.80
  6. Step 6: Final answer
    x = 3,446.70

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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.