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Finding the Fourth Proportional to 1,908.42, 2,647.08 and 1,857.84

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Solution

The fourth proportional to 1,908.42, 2,647.08 and 1,857.84 is: 2,576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.42 : 2,647.08 = 1,857.84 : x
  2. Step 2: Convert to fraction form
    1,908.42/2,647.08 = 1,857.84/x
  3. Step 3: Cross multiply
    1,908.42x = 2,647.08 × 1,857.84
  4. Step 4: Simplify right side
    1,908.42x = 4,917,851.11
  5. Step 5: Solve for x
    x = 4,917,851.11/1,908.42
  6. Step 6: Final answer
    x = 2,576.92

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.