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Finding the Fourth Proportional to 2,768.84, 4,172.04 and 2,292.56

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Solution

The fourth proportional to 2,768.84, 4,172.04 and 2,292.56 is: 3,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.84 : 4,172.04 = 2,292.56 : x
  2. Step 2: Convert to fraction form
    2,768.84/4,172.04 = 2,292.56/x
  3. Step 3: Cross multiply
    2,768.84x = 4,172.04 × 2,292.56
  4. Step 4: Simplify right side
    2,768.84x = 9,564,652.02
  5. Step 5: Solve for x
    x = 9,564,652.02/2,768.84
  6. Step 6: Final answer
    x = 3,454.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.