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Finding the Fourth Proportional to 2,692.53, 3,715.29 and 1,513.53

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Solution

The fourth proportional to 2,692.53, 3,715.29 and 1,513.53 is: 2,088.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.53 : 3,715.29 = 1,513.53 : x
  2. Step 2: Convert to fraction form
    2,692.53/3,715.29 = 1,513.53/x
  3. Step 3: Cross multiply
    2,692.53x = 3,715.29 × 1,513.53
  4. Step 4: Simplify right side
    2,692.53x = 5,623,202.87
  5. Step 5: Solve for x
    x = 5,623,202.87/2,692.53
  6. Step 6: Final answer
    x = 2,088.45

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Why These Related Problems?

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