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Finding the Fourth Proportional to 3,266.10, 4,902.84 and 1,319.67

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Solution

The fourth proportional to 3,266.10, 4,902.84 and 1,319.67 is: 1,981.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.10 : 4,902.84 = 1,319.67 : x
  2. Step 2: Convert to fraction form
    3,266.10/4,902.84 = 1,319.67/x
  3. Step 3: Cross multiply
    3,266.10x = 4,902.84 × 1,319.67
  4. Step 4: Simplify right side
    3,266.10x = 6,470,130.86
  5. Step 5: Solve for x
    x = 6,470,130.86/3,266.10
  6. Step 6: Final answer
    x = 1,981.00

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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.