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Finding the Fourth Proportional to 2,438.84, 3,365.34 and 1,444.20

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Solution

The fourth proportional to 2,438.84, 3,365.34 and 1,444.20 is: 1,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.84 : 3,365.34 = 1,444.20 : x
  2. Step 2: Convert to fraction form
    2,438.84/3,365.34 = 1,444.20/x
  3. Step 3: Cross multiply
    2,438.84x = 3,365.34 × 1,444.20
  4. Step 4: Simplify right side
    2,438.84x = 4,860,224.03
  5. Step 5: Solve for x
    x = 4,860,224.03/2,438.84
  6. Step 6: Final answer
    x = 1,992.84

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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.