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Finding the Fourth Proportional to 2,465.14, 3,696.91 and 821.24

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Solution

The fourth proportional to 2,465.14, 3,696.91 and 821.24 is: 1,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.14 : 3,696.91 = 821.24 : x
  2. Step 2: Convert to fraction form
    2,465.14/3,696.91 = 821.24/x
  3. Step 3: Cross multiply
    2,465.14x = 3,696.91 × 821.24
  4. Step 4: Simplify right side
    2,465.14x = 3,036,050.37
  5. Step 5: Solve for x
    x = 3,036,050.37/2,465.14
  6. Step 6: Final answer
    x = 1,231.59

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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.