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Finding the Fourth Proportional to 2,554.89, 3,832.31 and 705.99

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Solution

The fourth proportional to 2,554.89, 3,832.31 and 705.99 is: 1,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.89 : 3,832.31 = 705.99 : x
  2. Step 2: Convert to fraction form
    2,554.89/3,832.31 = 705.99/x
  3. Step 3: Cross multiply
    2,554.89x = 3,832.31 × 705.99
  4. Step 4: Simplify right side
    2,554.89x = 2,705,569.01
  5. Step 5: Solve for x
    x = 2,705,569.01/2,554.89
  6. Step 6: Final answer
    x = 1,058.98

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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.