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Finding the Fourth Proportional to 1,596.89, 2,206.77 and 1,302.05

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Solution

The fourth proportional to 1,596.89, 2,206.77 and 1,302.05 is: 1,799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.89 : 2,206.77 = 1,302.05 : x
  2. Step 2: Convert to fraction form
    1,596.89/2,206.77 = 1,302.05/x
  3. Step 3: Cross multiply
    1,596.89x = 2,206.77 × 1,302.05
  4. Step 4: Simplify right side
    1,596.89x = 2,873,324.88
  5. Step 5: Solve for x
    x = 2,873,324.88/1,596.89
  6. Step 6: Final answer
    x = 1,799.33

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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.