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Finding the Fourth Proportional to 1,872.65, 2,585.36 and 1,665.05

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Solution

The fourth proportional to 1,872.65, 2,585.36 and 1,665.05 is: 2,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.65 : 2,585.36 = 1,665.05 : x
  2. Step 2: Convert to fraction form
    1,872.65/2,585.36 = 1,665.05/x
  3. Step 3: Cross multiply
    1,872.65x = 2,585.36 × 1,665.05
  4. Step 4: Simplify right side
    1,872.65x = 4,304,744.90
  5. Step 5: Solve for x
    x = 4,304,744.90/1,872.65
  6. Step 6: Final answer
    x = 2,298.74

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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.