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Finding the Fourth Proportional to 1,408.83, 1,944.17 and 884.76

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Solution

The fourth proportional to 1,408.83, 1,944.17 and 884.76 is: 1,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.83 : 1,944.17 = 884.76 : x
  2. Step 2: Convert to fraction form
    1,408.83/1,944.17 = 884.76/x
  3. Step 3: Cross multiply
    1,408.83x = 1,944.17 × 884.76
  4. Step 4: Simplify right side
    1,408.83x = 1,720,109.70
  5. Step 5: Solve for x
    x = 1,720,109.70/1,408.83
  6. Step 6: Final answer
    x = 1,220.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.