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Finding the Fourth Proportional to 1,805.14, 2,491.12 and 1,019.24

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Solution

The fourth proportional to 1,805.14, 2,491.12 and 1,019.24 is: 1,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.14 : 2,491.12 = 1,019.24 : x
  2. Step 2: Convert to fraction form
    1,805.14/2,491.12 = 1,019.24/x
  3. Step 3: Cross multiply
    1,805.14x = 2,491.12 × 1,019.24
  4. Step 4: Simplify right side
    1,805.14x = 2,539,049.15
  5. Step 5: Solve for x
    x = 2,539,049.15/1,805.14
  6. Step 6: Final answer
    x = 1,406.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.