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Finding the Fourth Proportional to 2,858.98, 3,945.63 and 1,600.15

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Solution

The fourth proportional to 2,858.98, 3,945.63 and 1,600.15 is: 2,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.98 : 3,945.63 = 1,600.15 : x
  2. Step 2: Convert to fraction form
    2,858.98/3,945.63 = 1,600.15/x
  3. Step 3: Cross multiply
    2,858.98x = 3,945.63 × 1,600.15
  4. Step 4: Simplify right side
    2,858.98x = 6,313,599.84
  5. Step 5: Solve for x
    x = 6,313,599.84/2,858.98
  6. Step 6: Final answer
    x = 2,208.34

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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.