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Finding the Fourth Proportional to 1,900.81, 2,852.41 and 1,885.14

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Solution

The fourth proportional to 1,900.81, 2,852.41 and 1,885.14 is: 2,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.81 : 2,852.41 = 1,885.14 : x
  2. Step 2: Convert to fraction form
    1,900.81/2,852.41 = 1,885.14/x
  3. Step 3: Cross multiply
    1,900.81x = 2,852.41 × 1,885.14
  4. Step 4: Simplify right side
    1,900.81x = 5,377,196.31
  5. Step 5: Solve for x
    x = 5,377,196.31/1,900.81
  6. Step 6: Final answer
    x = 2,828.90

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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.