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Finding the Fourth Proportional to 2,211.64, 3,048.82 and 1,581.04

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Solution

The fourth proportional to 2,211.64, 3,048.82 and 1,581.04 is: 2,179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.64 : 3,048.82 = 1,581.04 : x
  2. Step 2: Convert to fraction form
    2,211.64/3,048.82 = 1,581.04/x
  3. Step 3: Cross multiply
    2,211.64x = 3,048.82 × 1,581.04
  4. Step 4: Simplify right side
    2,211.64x = 4,820,306.37
  5. Step 5: Solve for x
    x = 4,820,306.37/2,211.64
  6. Step 6: Final answer
    x = 2,179.52

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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.