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Finding the Fourth Proportional to 1,872.69, 2,585.43 and 1,665.12

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Solution

The fourth proportional to 1,872.69, 2,585.43 and 1,665.12 is: 2,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.69 : 2,585.43 = 1,665.12 : x
  2. Step 2: Convert to fraction form
    1,872.69/2,585.43 = 1,665.12/x
  3. Step 3: Cross multiply
    1,872.69x = 2,585.43 × 1,665.12
  4. Step 4: Simplify right side
    1,872.69x = 4,305,051.20
  5. Step 5: Solve for x
    x = 4,305,051.20/1,872.69
  6. Step 6: Final answer
    x = 2,298.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.