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Finding the Fourth Proportional to 4,902.85, 7,354.26 and 1,981.12

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Solution

The fourth proportional to 4,902.85, 7,354.26 and 1,981.12 is: 2,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.85 : 7,354.26 = 1,981.12 : x
  2. Step 2: Convert to fraction form
    4,902.85/7,354.26 = 1,981.12/x
  3. Step 3: Cross multiply
    4,902.85x = 7,354.26 × 1,981.12
  4. Step 4: Simplify right side
    4,902.85x = 14,569,671.57
  5. Step 5: Solve for x
    x = 14,569,671.57/4,902.85
  6. Step 6: Final answer
    x = 2,971.67

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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.