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Finding the Fourth Proportional to 2,754.84, 4,121.77 and 2,423.14

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Solution

The fourth proportional to 2,754.84, 4,121.77 and 2,423.14 is: 3,625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.84 : 4,121.77 = 2,423.14 : x
  2. Step 2: Convert to fraction form
    2,754.84/4,121.77 = 2,423.14/x
  3. Step 3: Cross multiply
    2,754.84x = 4,121.77 × 2,423.14
  4. Step 4: Simplify right side
    2,754.84x = 9,987,625.76
  5. Step 5: Solve for x
    x = 9,987,625.76/2,754.84
  6. Step 6: Final answer
    x = 3,625.48

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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.