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Finding the Fourth Proportional to 1,409.19, 2,112 and 998.41

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Solution

The fourth proportional to 1,409.19, 2,112 and 998.41 is: 1,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.19 : 2,112 = 998.41 : x
  2. Step 2: Convert to fraction form
    1,409.19/2,112 = 998.41/x
  3. Step 3: Cross multiply
    1,409.19x = 2,112 × 998.41
  4. Step 4: Simplify right side
    1,409.19x = 2,108,641.92
  5. Step 5: Solve for x
    x = 2,108,641.92/1,409.19
  6. Step 6: Final answer
    x = 1,496.35

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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.