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Finding the Fourth Proportional to 2,495.92, 3,444.42 and 1,448.05

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Solution

The fourth proportional to 2,495.92, 3,444.42 and 1,448.05 is: 1,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.92 : 3,444.42 = 1,448.05 : x
  2. Step 2: Convert to fraction form
    2,495.92/3,444.42 = 1,448.05/x
  3. Step 3: Cross multiply
    2,495.92x = 3,444.42 × 1,448.05
  4. Step 4: Simplify right side
    2,495.92x = 4,987,692.38
  5. Step 5: Solve for x
    x = 4,987,692.38/2,495.92
  6. Step 6: Final answer
    x = 1,998.34

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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.