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Finding the Fourth Proportional to 1,896.42, 2,842.00 and 1,116.93

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Solution

The fourth proportional to 1,896.42, 2,842.00 and 1,116.93 is: 1,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.42 : 2,842.00 = 1,116.93 : x
  2. Step 2: Convert to fraction form
    1,896.42/2,842.00 = 1,116.93/x
  3. Step 3: Cross multiply
    1,896.42x = 2,842.00 × 1,116.93
  4. Step 4: Simplify right side
    1,896.42x = 3,174,329.21
  5. Step 5: Solve for x
    x = 3,174,329.21/1,896.42
  6. Step 6: Final answer
    x = 1,673.85

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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.