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Finding the Fourth Proportional to 2,453, 3,679.86 and 1,465.22

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Solution

The fourth proportional to 2,453, 3,679.86 and 1,465.22 is: 2,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453 : 3,679.86 = 1,465.22 : x
  2. Step 2: Convert to fraction form
    2,453/3,679.86 = 1,465.22/x
  3. Step 3: Cross multiply
    2,453x = 3,679.86 × 1,465.22
  4. Step 4: Simplify right side
    2,453x = 5,391,804.47
  5. Step 5: Solve for x
    x = 5,391,804.47/2,453
  6. Step 6: Final answer
    x = 2,198.05

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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.