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Finding the Fourth Proportional to 1,896.46, 2,829.13 and 1,763.89

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Solution

The fourth proportional to 1,896.46, 2,829.13 and 1,763.89 is: 2,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.46 : 2,829.13 = 1,763.89 : x
  2. Step 2: Convert to fraction form
    1,896.46/2,829.13 = 1,763.89/x
  3. Step 3: Cross multiply
    1,896.46x = 2,829.13 × 1,763.89
  4. Step 4: Simplify right side
    1,896.46x = 4,990,274.12
  5. Step 5: Solve for x
    x = 4,990,274.12/1,896.46
  6. Step 6: Final answer
    x = 2,631.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.