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Finding the Fourth Proportional to 2,306.48, 3,186.64 and 2,290

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Solution

The fourth proportional to 2,306.48, 3,186.64 and 2,290 is: 3,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.48 : 3,186.64 = 2,290 : x
  2. Step 2: Convert to fraction form
    2,306.48/3,186.64 = 2,290/x
  3. Step 3: Cross multiply
    2,306.48x = 3,186.64 × 2,290
  4. Step 4: Simplify right side
    2,306.48x = 7,297,405.60
  5. Step 5: Solve for x
    x = 7,297,405.60/2,306.48
  6. Step 6: Final answer
    x = 3,163.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.