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Finding the Fourth Proportional to 1,411.26, 2,114.48 and 998.38

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Solution

The fourth proportional to 1,411.26, 2,114.48 and 998.38 is: 1,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.26 : 2,114.48 = 998.38 : x
  2. Step 2: Convert to fraction form
    1,411.26/2,114.48 = 998.38/x
  3. Step 3: Cross multiply
    1,411.26x = 2,114.48 × 998.38
  4. Step 4: Simplify right side
    1,411.26x = 2,111,054.54
  5. Step 5: Solve for x
    x = 2,111,054.54/1,411.26
  6. Step 6: Final answer
    x = 1,495.87

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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.