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Finding the Fourth Proportional to 2,692.69, 3,715.91 and 1,513.77

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Solution

The fourth proportional to 2,692.69, 3,715.91 and 1,513.77 is: 2,089.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.69 : 3,715.91 = 1,513.77 : x
  2. Step 2: Convert to fraction form
    2,692.69/3,715.91 = 1,513.77/x
  3. Step 3: Cross multiply
    2,692.69x = 3,715.91 × 1,513.77
  4. Step 4: Simplify right side
    2,692.69x = 5,625,017.25
  5. Step 5: Solve for x
    x = 5,625,017.25/2,692.69
  6. Step 6: Final answer
    x = 2,089.00

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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.