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Finding the Fourth Proportional to 1,441.35, 1,989.63 and 917.82

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Solution

The fourth proportional to 1,441.35, 1,989.63 and 917.82 is: 1,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.35 : 1,989.63 = 917.82 : x
  2. Step 2: Convert to fraction form
    1,441.35/1,989.63 = 917.82/x
  3. Step 3: Cross multiply
    1,441.35x = 1,989.63 × 917.82
  4. Step 4: Simplify right side
    1,441.35x = 1,826,122.21
  5. Step 5: Solve for x
    x = 1,826,122.21/1,441.35
  6. Step 6: Final answer
    x = 1,266.95

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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.