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Finding the Fourth Proportional to 2,692.33, 4,037.32 and 1,047.94

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Solution

The fourth proportional to 2,692.33, 4,037.32 and 1,047.94 is: 1,571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.33 : 4,037.32 = 1,047.94 : x
  2. Step 2: Convert to fraction form
    2,692.33/4,037.32 = 1,047.94/x
  3. Step 3: Cross multiply
    2,692.33x = 4,037.32 × 1,047.94
  4. Step 4: Simplify right side
    2,692.33x = 4,230,869.12
  5. Step 5: Solve for x
    x = 4,230,869.12/2,692.33
  6. Step 6: Final answer
    x = 1,571.45

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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.