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Finding the Fourth Proportional to 2,758.34, 4,135.62 and 1,441.28

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Solution

The fourth proportional to 2,758.34, 4,135.62 and 1,441.28 is: 2,160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.34 : 4,135.62 = 1,441.28 : x
  2. Step 2: Convert to fraction form
    2,758.34/4,135.62 = 1,441.28/x
  3. Step 3: Cross multiply
    2,758.34x = 4,135.62 × 1,441.28
  4. Step 4: Simplify right side
    2,758.34x = 5,960,586.39
  5. Step 5: Solve for x
    x = 5,960,586.39/2,758.34
  6. Step 6: Final answer
    x = 2,160.93

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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.