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Finding the Fourth Proportional to 1,418.22, 2,127.16 and 378.30

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Solution

The fourth proportional to 1,418.22, 2,127.16 and 378.30 is: 567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.22 : 2,127.16 = 378.30 : x
  2. Step 2: Convert to fraction form
    1,418.22/2,127.16 = 378.30/x
  3. Step 3: Cross multiply
    1,418.22x = 2,127.16 × 378.30
  4. Step 4: Simplify right side
    1,418.22x = 804,703.68
  5. Step 5: Solve for x
    x = 804,703.68/1,418.22
  6. Step 6: Final answer
    x = 567.40

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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.