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Finding the Fourth Proportional to 2,458.44, 3,690.42 and 1,364.94

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Solution

The fourth proportional to 2,458.44, 3,690.42 and 1,364.94 is: 2,048.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.44 : 3,690.42 = 1,364.94 : x
  2. Step 2: Convert to fraction form
    2,458.44/3,690.42 = 1,364.94/x
  3. Step 3: Cross multiply
    2,458.44x = 3,690.42 × 1,364.94
  4. Step 4: Simplify right side
    2,458.44x = 5,037,201.87
  5. Step 5: Solve for x
    x = 5,037,201.87/2,458.44
  6. Step 6: Final answer
    x = 2,048.94

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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.