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Finding the Fourth Proportional to 2,356.45, 3,250.97 and 1,412.26

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Solution

The fourth proportional to 2,356.45, 3,250.97 and 1,412.26 is: 1,948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.45 : 3,250.97 = 1,412.26 : x
  2. Step 2: Convert to fraction form
    2,356.45/3,250.97 = 1,412.26/x
  3. Step 3: Cross multiply
    2,356.45x = 3,250.97 × 1,412.26
  4. Step 4: Simplify right side
    2,356.45x = 4,591,205.00
  5. Step 5: Solve for x
    x = 4,591,205.00/2,356.45
  6. Step 6: Final answer
    x = 1,948.36

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