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Finding the Fourth Proportional to 1,418.67, 2,128.46 and 769.05

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Solution

The fourth proportional to 1,418.67, 2,128.46 and 769.05 is: 1,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.67 : 2,128.46 = 769.05 : x
  2. Step 2: Convert to fraction form
    1,418.67/2,128.46 = 769.05/x
  3. Step 3: Cross multiply
    1,418.67x = 2,128.46 × 769.05
  4. Step 4: Simplify right side
    1,418.67x = 1,636,888.32
  5. Step 5: Solve for x
    x = 1,636,888.32/1,418.67
  6. Step 6: Final answer
    x = 1,153.82

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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.