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Finding the Fourth Proportional to 2,805.48, 3,872.01 and 2,141.07

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Solution

The fourth proportional to 2,805.48, 3,872.01 and 2,141.07 is: 2,955.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.48 : 3,872.01 = 2,141.07 : x
  2. Step 2: Convert to fraction form
    2,805.48/3,872.01 = 2,141.07/x
  3. Step 3: Cross multiply
    2,805.48x = 3,872.01 × 2,141.07
  4. Step 4: Simplify right side
    2,805.48x = 8,290,244.45
  5. Step 5: Solve for x
    x = 8,290,244.45/2,805.48
  6. Step 6: Final answer
    x = 2,955.02

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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.