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Finding the Fourth Proportional to 1,896.17, 2,843.47 and 1,117.72

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Solution

The fourth proportional to 1,896.17, 2,843.47 and 1,117.72 is: 1,676.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.17 : 2,843.47 = 1,117.72 : x
  2. Step 2: Convert to fraction form
    1,896.17/2,843.47 = 1,117.72/x
  3. Step 3: Cross multiply
    1,896.17x = 2,843.47 × 1,117.72
  4. Step 4: Simplify right side
    1,896.17x = 3,178,208.24
  5. Step 5: Solve for x
    x = 3,178,208.24/1,896.17
  6. Step 6: Final answer
    x = 1,676.12

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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.