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Finding the Fourth Proportional to 2,859.35, 3,945.69 and 1,600.34

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Solution

The fourth proportional to 2,859.35, 3,945.69 and 1,600.34 is: 2,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.35 : 3,945.69 = 1,600.34 : x
  2. Step 2: Convert to fraction form
    2,859.35/3,945.69 = 1,600.34/x
  3. Step 3: Cross multiply
    2,859.35x = 3,945.69 × 1,600.34
  4. Step 4: Simplify right side
    2,859.35x = 6,314,425.81
  5. Step 5: Solve for x
    x = 6,314,425.81/2,859.35
  6. Step 6: Final answer
    x = 2,208.35

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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.