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Finding the Fourth Proportional to 2,692.31, 3,715.19 and 1,513.16

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Solution

The fourth proportional to 2,692.31, 3,715.19 and 1,513.16 is: 2,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.31 : 3,715.19 = 1,513.16 : x
  2. Step 2: Convert to fraction form
    2,692.31/3,715.19 = 1,513.16/x
  3. Step 3: Cross multiply
    2,692.31x = 3,715.19 × 1,513.16
  4. Step 4: Simplify right side
    2,692.31x = 5,621,676.90
  5. Step 5: Solve for x
    x = 5,621,676.90/2,692.31
  6. Step 6: Final answer
    x = 2,088.05

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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.