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Finding the Fourth Proportional to 2,495.40, 3,745.80 and 1,401.90

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Solution

The fourth proportional to 2,495.40, 3,745.80 and 1,401.90 is: 2,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.40 : 3,745.80 = 1,401.90 : x
  2. Step 2: Convert to fraction form
    2,495.40/3,745.80 = 1,401.90/x
  3. Step 3: Cross multiply
    2,495.40x = 3,745.80 × 1,401.90
  4. Step 4: Simplify right side
    2,495.40x = 5,251,237.02
  5. Step 5: Solve for x
    x = 5,251,237.02/2,495.40
  6. Step 6: Final answer
    x = 2,104.37

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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.