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Finding the Fourth Proportional to 1,896.16, 2,842.51 and 1,605.53

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Solution

The fourth proportional to 1,896.16, 2,842.51 and 1,605.53 is: 2,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.16 : 2,842.51 = 1,605.53 : x
  2. Step 2: Convert to fraction form
    1,896.16/2,842.51 = 1,605.53/x
  3. Step 3: Cross multiply
    1,896.16x = 2,842.51 × 1,605.53
  4. Step 4: Simplify right side
    1,896.16x = 4,563,727.05
  5. Step 5: Solve for x
    x = 4,563,727.05/1,896.16
  6. Step 6: Final answer
    x = 2,406.83

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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.