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Finding the Fourth Proportional to 2,436, 3,645.28 and 2,295.66

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Solution

The fourth proportional to 2,436, 3,645.28 and 2,295.66 is: 3,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436 : 3,645.28 = 2,295.66 : x
  2. Step 2: Convert to fraction form
    2,436/3,645.28 = 2,295.66/x
  3. Step 3: Cross multiply
    2,436x = 3,645.28 × 2,295.66
  4. Step 4: Simplify right side
    2,436x = 8,368,323.48
  5. Step 5: Solve for x
    x = 8,368,323.48/2,436
  6. Step 6: Final answer
    x = 3,435.27

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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.