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Finding the Fourth Proportional to 2,010.10, 2,777.01 and 1,805.30

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Solution

The fourth proportional to 2,010.10, 2,777.01 and 1,805.30 is: 2,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.10 : 2,777.01 = 1,805.30 : x
  2. Step 2: Convert to fraction form
    2,010.10/2,777.01 = 1,805.30/x
  3. Step 3: Cross multiply
    2,010.10x = 2,777.01 × 1,805.30
  4. Step 4: Simplify right side
    2,010.10x = 5,013,336.15
  5. Step 5: Solve for x
    x = 5,013,336.15/2,010.10
  6. Step 6: Final answer
    x = 2,494.07

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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.