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Finding the Fourth Proportional to 3,211.06, 4,816.07 and 1,019.29

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Solution

The fourth proportional to 3,211.06, 4,816.07 and 1,019.29 is: 1,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.06 : 4,816.07 = 1,019.29 : x
  2. Step 2: Convert to fraction form
    3,211.06/4,816.07 = 1,019.29/x
  3. Step 3: Cross multiply
    3,211.06x = 4,816.07 × 1,019.29
  4. Step 4: Simplify right side
    3,211.06x = 4,908,971.99
  5. Step 5: Solve for x
    x = 4,908,971.99/3,211.06
  6. Step 6: Final answer
    x = 1,528.77

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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.