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Finding the Fourth Proportional to 1,917.00, 2,874.64 and 1,335.73

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Solution

The fourth proportional to 1,917.00, 2,874.64 and 1,335.73 is: 2,003.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.00 : 2,874.64 = 1,335.73 : x
  2. Step 2: Convert to fraction form
    1,917.00/2,874.64 = 1,335.73/x
  3. Step 3: Cross multiply
    1,917.00x = 2,874.64 × 1,335.73
  4. Step 4: Simplify right side
    1,917.00x = 3,839,750.07
  5. Step 5: Solve for x
    x = 3,839,750.07/1,917.00
  6. Step 6: Final answer
    x = 2,003.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.