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Finding the Fourth Proportional to 2,596.69, 3,895.26 and 1,115.98

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Solution

The fourth proportional to 2,596.69, 3,895.26 and 1,115.98 is: 1,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.69 : 3,895.26 = 1,115.98 : x
  2. Step 2: Convert to fraction form
    2,596.69/3,895.26 = 1,115.98/x
  3. Step 3: Cross multiply
    2,596.69x = 3,895.26 × 1,115.98
  4. Step 4: Simplify right side
    2,596.69x = 4,347,032.25
  5. Step 5: Solve for x
    x = 4,347,032.25/2,596.69
  6. Step 6: Final answer
    x = 1,674.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.