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Finding the Fourth Proportional to 1,408.12, 2,112.06 and 368.20

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Solution

The fourth proportional to 1,408.12, 2,112.06 and 368.20 is: 552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.12 : 2,112.06 = 368.20 : x
  2. Step 2: Convert to fraction form
    1,408.12/2,112.06 = 368.20/x
  3. Step 3: Cross multiply
    1,408.12x = 2,112.06 × 368.20
  4. Step 4: Simplify right side
    1,408.12x = 777,660.49
  5. Step 5: Solve for x
    x = 777,660.49/1,408.12
  6. Step 6: Final answer
    x = 552.27

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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.