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Finding the Fourth Proportional to 2,692.68, 3,715.76 and 1,808.36

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Solution

The fourth proportional to 2,692.68, 3,715.76 and 1,808.36 is: 2,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.68 : 3,715.76 = 1,808.36 : x
  2. Step 2: Convert to fraction form
    2,692.68/3,715.76 = 1,808.36/x
  3. Step 3: Cross multiply
    2,692.68x = 3,715.76 × 1,808.36
  4. Step 4: Simplify right side
    2,692.68x = 6,719,431.75
  5. Step 5: Solve for x
    x = 6,719,431.75/2,692.68
  6. Step 6: Final answer
    x = 2,495.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.