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Finding the Fourth Proportional to 1,408.16, 2,113.56 and 996.12

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Solution

The fourth proportional to 1,408.16, 2,113.56 and 996.12 is: 1,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.16 : 2,113.56 = 996.12 : x
  2. Step 2: Convert to fraction form
    1,408.16/2,113.56 = 996.12/x
  3. Step 3: Cross multiply
    1,408.16x = 2,113.56 × 996.12
  4. Step 4: Simplify right side
    1,408.16x = 2,105,359.39
  5. Step 5: Solve for x
    x = 2,105,359.39/1,408.16
  6. Step 6: Final answer
    x = 1,495.11

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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.