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Finding the Fourth Proportional to 1,898.40, 2,618.82 and 1,112.31

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Solution

The fourth proportional to 1,898.40, 2,618.82 and 1,112.31 is: 1,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.40 : 2,618.82 = 1,112.31 : x
  2. Step 2: Convert to fraction form
    1,898.40/2,618.82 = 1,112.31/x
  3. Step 3: Cross multiply
    1,898.40x = 2,618.82 × 1,112.31
  4. Step 4: Simplify right side
    1,898.40x = 2,912,939.67
  5. Step 5: Solve for x
    x = 2,912,939.67/1,898.40
  6. Step 6: Final answer
    x = 1,534.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.