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Finding the Fourth Proportional to 2,491.42, 3,438.57 and 1,900.84

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Solution

The fourth proportional to 2,491.42, 3,438.57 and 1,900.84 is: 2,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.42 : 3,438.57 = 1,900.84 : x
  2. Step 2: Convert to fraction form
    2,491.42/3,438.57 = 1,900.84/x
  3. Step 3: Cross multiply
    2,491.42x = 3,438.57 × 1,900.84
  4. Step 4: Simplify right side
    2,491.42x = 6,536,171.40
  5. Step 5: Solve for x
    x = 6,536,171.40/2,491.42
  6. Step 6: Final answer
    x = 2,623.47

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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.