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Finding the Fourth Proportional to 2,195.74, 3,025.74 and 1,596.19

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Solution

The fourth proportional to 2,195.74, 3,025.74 and 1,596.19 is: 2,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.74 : 3,025.74 = 1,596.19 : x
  2. Step 2: Convert to fraction form
    2,195.74/3,025.74 = 1,596.19/x
  3. Step 3: Cross multiply
    2,195.74x = 3,025.74 × 1,596.19
  4. Step 4: Simplify right side
    2,195.74x = 4,829,655.93
  5. Step 5: Solve for x
    x = 4,829,655.93/2,195.74
  6. Step 6: Final answer
    x = 2,199.56

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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.