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Finding the Fourth Proportional to 3,297.88, 4,549.44 and 2,102.56

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Solution

The fourth proportional to 3,297.88, 4,549.44 and 2,102.56 is: 2,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.88 : 4,549.44 = 2,102.56 : x
  2. Step 2: Convert to fraction form
    3,297.88/4,549.44 = 2,102.56/x
  3. Step 3: Cross multiply
    3,297.88x = 4,549.44 × 2,102.56
  4. Step 4: Simplify right side
    3,297.88x = 9,565,470.57
  5. Step 5: Solve for x
    x = 9,565,470.57/3,297.88
  6. Step 6: Final answer
    x = 2,900.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.