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Finding the Fourth Proportional to 2,695, 4,035.52 and 1,600.12

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Solution

The fourth proportional to 2,695, 4,035.52 and 1,600.12 is: 2,396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695 : 4,035.52 = 1,600.12 : x
  2. Step 2: Convert to fraction form
    2,695/4,035.52 = 1,600.12/x
  3. Step 3: Cross multiply
    2,695x = 4,035.52 × 1,600.12
  4. Step 4: Simplify right side
    2,695x = 6,457,316.26
  5. Step 5: Solve for x
    x = 6,457,316.26/2,695
  6. Step 6: Final answer
    x = 2,396.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.