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Finding the Fourth Proportional to 2,769.35, 4,153.12 and 1,014.06

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Solution

The fourth proportional to 2,769.35, 4,153.12 and 1,014.06 is: 1,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.35 : 4,153.12 = 1,014.06 : x
  2. Step 2: Convert to fraction form
    2,769.35/4,153.12 = 1,014.06/x
  3. Step 3: Cross multiply
    2,769.35x = 4,153.12 × 1,014.06
  4. Step 4: Simplify right side
    2,769.35x = 4,211,495.99
  5. Step 5: Solve for x
    x = 4,211,495.99/2,769.35
  6. Step 6: Final answer
    x = 1,520.75

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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.