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Finding the Fourth Proportional to 1,418.04, 2,127.24 and 552.24

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Solution

The fourth proportional to 1,418.04, 2,127.24 and 552.24 is: 828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.04 : 2,127.24 = 552.24 : x
  2. Step 2: Convert to fraction form
    1,418.04/2,127.24 = 552.24/x
  3. Step 3: Cross multiply
    1,418.04x = 2,127.24 × 552.24
  4. Step 4: Simplify right side
    1,418.04x = 1,174,747.02
  5. Step 5: Solve for x
    x = 1,174,747.02/1,418.04
  6. Step 6: Final answer
    x = 828.43

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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.