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Finding the Fourth Proportional to 2,806.85, 4,210.75 and 1,052.46

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Solution

The fourth proportional to 2,806.85, 4,210.75 and 1,052.46 is: 1,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.85 : 4,210.75 = 1,052.46 : x
  2. Step 2: Convert to fraction form
    2,806.85/4,210.75 = 1,052.46/x
  3. Step 3: Cross multiply
    2,806.85x = 4,210.75 × 1,052.46
  4. Step 4: Simplify right side
    2,806.85x = 4,431,647.26
  5. Step 5: Solve for x
    x = 4,431,647.26/2,806.85
  6. Step 6: Final answer
    x = 1,578.87

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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.