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Finding the Fourth Proportional to 1,898.19, 2,832.89 and 1,848.98

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Solution

The fourth proportional to 1,898.19, 2,832.89 and 1,848.98 is: 2,759.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.19 : 2,832.89 = 1,848.98 : x
  2. Step 2: Convert to fraction form
    1,898.19/2,832.89 = 1,848.98/x
  3. Step 3: Cross multiply
    1,898.19x = 2,832.89 × 1,848.98
  4. Step 4: Simplify right side
    1,898.19x = 5,237,933.54
  5. Step 5: Solve for x
    x = 5,237,933.54/1,898.19
  6. Step 6: Final answer
    x = 2,759.44

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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.