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Finding the Fourth Proportional to 1,418.28, 2,126.67 and 638.52

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Solution

The fourth proportional to 1,418.28, 2,126.67 and 638.52 is: 957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.28 : 2,126.67 = 638.52 : x
  2. Step 2: Convert to fraction form
    1,418.28/2,126.67 = 638.52/x
  3. Step 3: Cross multiply
    1,418.28x = 2,126.67 × 638.52
  4. Step 4: Simplify right side
    1,418.28x = 1,357,921.33
  5. Step 5: Solve for x
    x = 1,357,921.33/1,418.28
  6. Step 6: Final answer
    x = 957.44

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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.