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Finding the Fourth Proportional to 2,692.06, 4,038.09 and 1,230.19

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Solution

The fourth proportional to 2,692.06, 4,038.09 and 1,230.19 is: 1,845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.06 : 4,038.09 = 1,230.19 : x
  2. Step 2: Convert to fraction form
    2,692.06/4,038.09 = 1,230.19/x
  3. Step 3: Cross multiply
    2,692.06x = 4,038.09 × 1,230.19
  4. Step 4: Simplify right side
    2,692.06x = 4,967,608.42
  5. Step 5: Solve for x
    x = 4,967,608.42/2,692.06
  6. Step 6: Final answer
    x = 1,845.28

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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.