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Finding the Fourth Proportional to 1,814.49, 2,722.14 and 840.06

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Solution

The fourth proportional to 1,814.49, 2,722.14 and 840.06 is: 1,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.49 : 2,722.14 = 840.06 : x
  2. Step 2: Convert to fraction form
    1,814.49/2,722.14 = 840.06/x
  3. Step 3: Cross multiply
    1,814.49x = 2,722.14 × 840.06
  4. Step 4: Simplify right side
    1,814.49x = 2,286,760.93
  5. Step 5: Solve for x
    x = 2,286,760.93/1,814.49
  6. Step 6: Final answer
    x = 1,260.28

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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.