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Finding the Fourth Proportional to 1,418.21, 2,127.01 and 378.17

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Solution

The fourth proportional to 1,418.21, 2,127.01 and 378.17 is: 567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.21 : 2,127.01 = 378.17 : x
  2. Step 2: Convert to fraction form
    1,418.21/2,127.01 = 378.17/x
  3. Step 3: Cross multiply
    1,418.21x = 2,127.01 × 378.17
  4. Step 4: Simplify right side
    1,418.21x = 804,368.48
  5. Step 5: Solve for x
    x = 804,368.48/1,418.21
  6. Step 6: Final answer
    x = 567.17

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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.