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Finding the Fourth Proportional to 1,928.54, 2,657.76 and 1,508.24

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Solution

The fourth proportional to 1,928.54, 2,657.76 and 1,508.24 is: 2,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.54 : 2,657.76 = 1,508.24 : x
  2. Step 2: Convert to fraction form
    1,928.54/2,657.76 = 1,508.24/x
  3. Step 3: Cross multiply
    1,928.54x = 2,657.76 × 1,508.24
  4. Step 4: Simplify right side
    1,928.54x = 4,008,539.94
  5. Step 5: Solve for x
    x = 4,008,539.94/1,928.54
  6. Step 6: Final answer
    x = 2,078.54

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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.