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Finding the Fourth Proportional to 1,814.91, 2,722.55 and 841.29

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Solution

The fourth proportional to 1,814.91, 2,722.55 and 841.29 is: 1,262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.91 : 2,722.55 = 841.29 : x
  2. Step 2: Convert to fraction form
    1,814.91/2,722.55 = 841.29/x
  3. Step 3: Cross multiply
    1,814.91x = 2,722.55 × 841.29
  4. Step 4: Simplify right side
    1,814.91x = 2,290,449.88
  5. Step 5: Solve for x
    x = 2,290,449.88/1,814.91
  6. Step 6: Final answer
    x = 1,262.02

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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.