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Finding the Fourth Proportional to 3,025.92, 4,176.64 and 1,978.08

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Solution

The fourth proportional to 3,025.92, 4,176.64 and 1,978.08 is: 2,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.92 : 4,176.64 = 1,978.08 : x
  2. Step 2: Convert to fraction form
    3,025.92/4,176.64 = 1,978.08/x
  3. Step 3: Cross multiply
    3,025.92x = 4,176.64 × 1,978.08
  4. Step 4: Simplify right side
    3,025.92x = 8,261,728.05
  5. Step 5: Solve for x
    x = 8,261,728.05/3,025.92
  6. Step 6: Final answer
    x = 2,730.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.