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Finding the Fourth Proportional to 1,418.94, 2,131.76 and 835.44

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Solution

The fourth proportional to 1,418.94, 2,131.76 and 835.44 is: 1,255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.94 : 2,131.76 = 835.44 : x
  2. Step 2: Convert to fraction form
    1,418.94/2,131.76 = 835.44/x
  3. Step 3: Cross multiply
    1,418.94x = 2,131.76 × 835.44
  4. Step 4: Simplify right side
    1,418.94x = 1,780,953.40
  5. Step 5: Solve for x
    x = 1,780,953.40/1,418.94
  6. Step 6: Final answer
    x = 1,255.13

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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.