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Finding the Fourth Proportional to 2,551.65, 3,828.69 and 1,456.40

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Solution

The fourth proportional to 2,551.65, 3,828.69 and 1,456.40 is: 2,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.65 : 3,828.69 = 1,456.40 : x
  2. Step 2: Convert to fraction form
    2,551.65/3,828.69 = 1,456.40/x
  3. Step 3: Cross multiply
    2,551.65x = 3,828.69 × 1,456.40
  4. Step 4: Simplify right side
    2,551.65x = 5,576,084.97
  5. Step 5: Solve for x
    x = 5,576,084.97/2,551.65
  6. Step 6: Final answer
    x = 2,185.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.