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Finding the Fourth Proportional to 1,276.00, 1,922.69 and 1,049.96

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Solution

The fourth proportional to 1,276.00, 1,922.69 and 1,049.96 is: 1,582.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.00 : 1,922.69 = 1,049.96 : x
  2. Step 2: Convert to fraction form
    1,276.00/1,922.69 = 1,049.96/x
  3. Step 3: Cross multiply
    1,276.00x = 1,922.69 × 1,049.96
  4. Step 4: Simplify right side
    1,276.00x = 2,018,749.12
  5. Step 5: Solve for x
    x = 2,018,749.12/1,276.00
  6. Step 6: Final answer
    x = 1,582.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.