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Finding the Fourth Proportional to 2,542.88, 3,830.06 and 2,362.64

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Solution

The fourth proportional to 2,542.88, 3,830.06 and 2,362.64 is: 3,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.88 : 3,830.06 = 2,362.64 : x
  2. Step 2: Convert to fraction form
    2,542.88/3,830.06 = 2,362.64/x
  3. Step 3: Cross multiply
    2,542.88x = 3,830.06 × 2,362.64
  4. Step 4: Simplify right side
    2,542.88x = 9,049,052.96
  5. Step 5: Solve for x
    x = 9,049,052.96/2,542.88
  6. Step 6: Final answer
    x = 3,558.58

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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.