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Finding the Fourth Proportional to 2,568.54, 3,545.46 and 1,978.32

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Solution

The fourth proportional to 2,568.54, 3,545.46 and 1,978.32 is: 2,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.54 : 3,545.46 = 1,978.32 : x
  2. Step 2: Convert to fraction form
    2,568.54/3,545.46 = 1,978.32/x
  3. Step 3: Cross multiply
    2,568.54x = 3,545.46 × 1,978.32
  4. Step 4: Simplify right side
    2,568.54x = 7,014,054.43
  5. Step 5: Solve for x
    x = 7,014,054.43/2,568.54
  6. Step 6: Final answer
    x = 2,730.76

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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.