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Finding the Fourth Proportional to 2,458.67, 3,393.45 and 1,396.46

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Solution

The fourth proportional to 2,458.67, 3,393.45 and 1,396.46 is: 1,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.67 : 3,393.45 = 1,396.46 : x
  2. Step 2: Convert to fraction form
    2,458.67/3,393.45 = 1,396.46/x
  3. Step 3: Cross multiply
    2,458.67x = 3,393.45 × 1,396.46
  4. Step 4: Simplify right side
    2,458.67x = 4,738,800.22
  5. Step 5: Solve for x
    x = 4,738,800.22/2,458.67
  6. Step 6: Final answer
    x = 1,927.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.