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Finding the Fourth Proportional to 1,418.49, 2,127.83 and 378.48

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Solution

The fourth proportional to 1,418.49, 2,127.83 and 378.48 is: 567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.49 : 2,127.83 = 378.48 : x
  2. Step 2: Convert to fraction form
    1,418.49/2,127.83 = 378.48/x
  3. Step 3: Cross multiply
    1,418.49x = 2,127.83 × 378.48
  4. Step 4: Simplify right side
    1,418.49x = 805,341.10
  5. Step 5: Solve for x
    x = 805,341.10/1,418.49
  6. Step 6: Final answer
    x = 567.75

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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.