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Finding the Fourth Proportional to 1,325.92, 1,816.64 and 1,276.78

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Solution

The fourth proportional to 1,325.92, 1,816.64 and 1,276.78 is: 1,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.92 : 1,816.64 = 1,276.78 : x
  2. Step 2: Convert to fraction form
    1,325.92/1,816.64 = 1,276.78/x
  3. Step 3: Cross multiply
    1,325.92x = 1,816.64 × 1,276.78
  4. Step 4: Simplify right side
    1,325.92x = 2,319,449.62
  5. Step 5: Solve for x
    x = 2,319,449.62/1,325.92
  6. Step 6: Final answer
    x = 1,749.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.