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Finding the Fourth Proportional to 2,692.36, 3,715.44 and 1,513.44

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Solution

The fourth proportional to 2,692.36, 3,715.44 and 1,513.44 is: 2,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.36 : 3,715.44 = 1,513.44 : x
  2. Step 2: Convert to fraction form
    2,692.36/3,715.44 = 1,513.44/x
  3. Step 3: Cross multiply
    2,692.36x = 3,715.44 × 1,513.44
  4. Step 4: Simplify right side
    2,692.36x = 5,623,095.51
  5. Step 5: Solve for x
    x = 5,623,095.51/2,692.36
  6. Step 6: Final answer
    x = 2,088.54

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1.5x scale

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.