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Finding the Fourth Proportional to 1,853.87, 2,554.74 and 1,382.31

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Solution

The fourth proportional to 1,853.87, 2,554.74 and 1,382.31 is: 1,904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.87 : 2,554.74 = 1,382.31 : x
  2. Step 2: Convert to fraction form
    1,853.87/2,554.74 = 1,382.31/x
  3. Step 3: Cross multiply
    1,853.87x = 2,554.74 × 1,382.31
  4. Step 4: Simplify right side
    1,853.87x = 3,531,442.65
  5. Step 5: Solve for x
    x = 3,531,442.65/1,853.87
  6. Step 6: Final answer
    x = 1,904.91

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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.