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Finding the Fourth Proportional to 1,650.92, 2,276.34 and 1,318.28

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Solution

The fourth proportional to 1,650.92, 2,276.34 and 1,318.28 is: 1,817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.92 : 2,276.34 = 1,318.28 : x
  2. Step 2: Convert to fraction form
    1,650.92/2,276.34 = 1,318.28/x
  3. Step 3: Cross multiply
    1,650.92x = 2,276.34 × 1,318.28
  4. Step 4: Simplify right side
    1,650.92x = 3,000,853.50
  5. Step 5: Solve for x
    x = 3,000,853.50/1,650.92
  6. Step 6: Final answer
    x = 1,817.69

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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.