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Finding the Fourth Proportional to 2,008.98, 3,012.73 and 692.36

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Solution

The fourth proportional to 2,008.98, 3,012.73 and 692.36 is: 1,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.98 : 3,012.73 = 692.36 : x
  2. Step 2: Convert to fraction form
    2,008.98/3,012.73 = 692.36/x
  3. Step 3: Cross multiply
    2,008.98x = 3,012.73 × 692.36
  4. Step 4: Simplify right side
    2,008.98x = 2,085,893.74
  5. Step 5: Solve for x
    x = 2,085,893.74/2,008.98
  6. Step 6: Final answer
    x = 1,038.28

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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.