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Finding the Fourth Proportional to 2,934.88, 4,398.46 and 1,202.56

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Solution

The fourth proportional to 2,934.88, 4,398.46 and 1,202.56 is: 1,802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.88 : 4,398.46 = 1,202.56 : x
  2. Step 2: Convert to fraction form
    2,934.88/4,398.46 = 1,202.56/x
  3. Step 3: Cross multiply
    2,934.88x = 4,398.46 × 1,202.56
  4. Step 4: Simplify right side
    2,934.88x = 5,289,412.06
  5. Step 5: Solve for x
    x = 5,289,412.06/2,934.88
  6. Step 6: Final answer
    x = 1,802.26

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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.