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Finding the Fourth Proportional to 2,465.69, 3,696.08 and 2,028.29

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Solution

The fourth proportional to 2,465.69, 3,696.08 and 2,028.29 is: 3,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.69 : 3,696.08 = 2,028.29 : x
  2. Step 2: Convert to fraction form
    2,465.69/3,696.08 = 2,028.29/x
  3. Step 3: Cross multiply
    2,465.69x = 3,696.08 × 2,028.29
  4. Step 4: Simplify right side
    2,465.69x = 7,496,693.48
  5. Step 5: Solve for x
    x = 7,496,693.48/2,465.69
  6. Step 6: Final answer
    x = 3,040.41

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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.