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Finding the Fourth Proportional to 2,234.81, 3,084.60 and 1,438.67

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Solution

The fourth proportional to 2,234.81, 3,084.60 and 1,438.67 is: 1,985.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.81 : 3,084.60 = 1,438.67 : x
  2. Step 2: Convert to fraction form
    2,234.81/3,084.60 = 1,438.67/x
  3. Step 3: Cross multiply
    2,234.81x = 3,084.60 × 1,438.67
  4. Step 4: Simplify right side
    2,234.81x = 4,437,706.06
  5. Step 5: Solve for x
    x = 4,437,706.06/2,234.81
  6. Step 6: Final answer
    x = 1,985.72

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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.