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Finding the Fourth Proportional to 2,596.11, 3,891.43 and 1,134.87

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Solution

The fourth proportional to 2,596.11, 3,891.43 and 1,134.87 is: 1,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.11 : 3,891.43 = 1,134.87 : x
  2. Step 2: Convert to fraction form
    2,596.11/3,891.43 = 1,134.87/x
  3. Step 3: Cross multiply
    2,596.11x = 3,891.43 × 1,134.87
  4. Step 4: Simplify right side
    2,596.11x = 4,416,267.16
  5. Step 5: Solve for x
    x = 4,416,267.16/2,596.11
  6. Step 6: Final answer
    x = 1,701.11

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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.