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Finding the Fourth Proportional to 1,872.75, 2,794.89 and 1,665.16

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Solution

The fourth proportional to 1,872.75, 2,794.89 and 1,665.16 is: 2,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.75 : 2,794.89 = 1,665.16 : x
  2. Step 2: Convert to fraction form
    1,872.75/2,794.89 = 1,665.16/x
  3. Step 3: Cross multiply
    1,872.75x = 2,794.89 × 1,665.16
  4. Step 4: Simplify right side
    1,872.75x = 4,653,937.69
  5. Step 5: Solve for x
    x = 4,653,937.69/1,872.75
  6. Step 6: Final answer
    x = 2,485.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.