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Finding the Fourth Proportional to 1,923.40, 2,882.70 and 998.41

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Solution

The fourth proportional to 1,923.40, 2,882.70 and 998.41 is: 1,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.40 : 2,882.70 = 998.41 : x
  2. Step 2: Convert to fraction form
    1,923.40/2,882.70 = 998.41/x
  3. Step 3: Cross multiply
    1,923.40x = 2,882.70 × 998.41
  4. Step 4: Simplify right side
    1,923.40x = 2,878,116.51
  5. Step 5: Solve for x
    x = 2,878,116.51/1,923.40
  6. Step 6: Final answer
    x = 1,496.37

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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.