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Finding the Fourth Proportional to 1,908.46, 2,864.72 and 1,690.43

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Solution

The fourth proportional to 1,908.46, 2,864.72 and 1,690.43 is: 2,537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.46 : 2,864.72 = 1,690.43 : x
  2. Step 2: Convert to fraction form
    1,908.46/2,864.72 = 1,690.43/x
  3. Step 3: Cross multiply
    1,908.46x = 2,864.72 × 1,690.43
  4. Step 4: Simplify right side
    1,908.46x = 4,842,608.63
  5. Step 5: Solve for x
    x = 4,842,608.63/1,908.46
  6. Step 6: Final answer
    x = 2,537.44

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