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Finding the Fourth Proportional to 2,010.78, 3,013.83 and 1,260.63

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Solution

The fourth proportional to 2,010.78, 3,013.83 and 1,260.63 is: 1,889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.78 : 3,013.83 = 1,260.63 : x
  2. Step 2: Convert to fraction form
    2,010.78/3,013.83 = 1,260.63/x
  3. Step 3: Cross multiply
    2,010.78x = 3,013.83 × 1,260.63
  4. Step 4: Simplify right side
    2,010.78x = 3,799,324.51
  5. Step 5: Solve for x
    x = 3,799,324.51/2,010.78
  6. Step 6: Final answer
    x = 1,889.48

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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.