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Finding the Fourth Proportional to 1,814.81, 2,723.02 and 840.65

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Solution

The fourth proportional to 1,814.81, 2,723.02 and 840.65 is: 1,261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.81 : 2,723.02 = 840.65 : x
  2. Step 2: Convert to fraction form
    1,814.81/2,723.02 = 840.65/x
  3. Step 3: Cross multiply
    1,814.81x = 2,723.02 × 840.65
  4. Step 4: Simplify right side
    1,814.81x = 2,289,091.05
  5. Step 5: Solve for x
    x = 2,289,091.05/1,814.81
  6. Step 6: Final answer
    x = 1,261.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.