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Finding the Fourth Proportional to 1,808.12, 2,495.52 and 1,144.76

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Solution

The fourth proportional to 1,808.12, 2,495.52 and 1,144.76 is: 1,579.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.12 : 2,495.52 = 1,144.76 : x
  2. Step 2: Convert to fraction form
    1,808.12/2,495.52 = 1,144.76/x
  3. Step 3: Cross multiply
    1,808.12x = 2,495.52 × 1,144.76
  4. Step 4: Simplify right side
    1,808.12x = 2,856,771.48
  5. Step 5: Solve for x
    x = 2,856,771.48/1,808.12
  6. Step 6: Final answer
    x = 1,579.97

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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.