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Finding the Fourth Proportional to 2,176.78, 3,258.78 and 1,352.55

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Solution

The fourth proportional to 2,176.78, 3,258.78 and 1,352.55 is: 2,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.78 : 3,258.78 = 1,352.55 : x
  2. Step 2: Convert to fraction form
    2,176.78/3,258.78 = 1,352.55/x
  3. Step 3: Cross multiply
    2,176.78x = 3,258.78 × 1,352.55
  4. Step 4: Simplify right side
    2,176.78x = 4,407,662.89
  5. Step 5: Solve for x
    x = 4,407,662.89/2,176.78
  6. Step 6: Final answer
    x = 2,024.85

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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.