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Finding the Fourth Proportional to 2,971.26, 4,453.95 and 1,408.50

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Solution

The fourth proportional to 2,971.26, 4,453.95 and 1,408.50 is: 2,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.26 : 4,453.95 = 1,408.50 : x
  2. Step 2: Convert to fraction form
    2,971.26/4,453.95 = 1,408.50/x
  3. Step 3: Cross multiply
    2,971.26x = 4,453.95 × 1,408.50
  4. Step 4: Simplify right side
    2,971.26x = 6,273,388.58
  5. Step 5: Solve for x
    x = 6,273,388.58/2,971.26
  6. Step 6: Final answer
    x = 2,111.36

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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.