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Finding the Fourth Proportional to 1,418.74, 2,128.32 and 378.82

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Solution

The fourth proportional to 1,418.74, 2,128.32 and 378.82 is: 568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.74 : 2,128.32 = 378.82 : x
  2. Step 2: Convert to fraction form
    1,418.74/2,128.32 = 378.82/x
  3. Step 3: Cross multiply
    1,418.74x = 2,128.32 × 378.82
  4. Step 4: Simplify right side
    1,418.74x = 806,254.26
  5. Step 5: Solve for x
    x = 806,254.26/1,418.74
  6. Step 6: Final answer
    x = 568.29

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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.