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Finding the Fourth Proportional to 2,692.09, 3,715.09 and 1,513.17

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Solution

The fourth proportional to 2,692.09, 3,715.09 and 1,513.17 is: 2,088.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.09 : 3,715.09 = 1,513.17 : x
  2. Step 2: Convert to fraction form
    2,692.09/3,715.09 = 1,513.17/x
  3. Step 3: Cross multiply
    2,692.09x = 3,715.09 × 1,513.17
  4. Step 4: Simplify right side
    2,692.09x = 5,621,558.95
  5. Step 5: Solve for x
    x = 5,621,558.95/2,692.09
  6. Step 6: Final answer
    x = 2,088.18

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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.