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Finding the Fourth Proportional to 2,010.02, 2,774.83 and 1,264.39

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Solution

The fourth proportional to 2,010.02, 2,774.83 and 1,264.39 is: 1,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.02 : 2,774.83 = 1,264.39 : x
  2. Step 2: Convert to fraction form
    2,010.02/2,774.83 = 1,264.39/x
  3. Step 3: Cross multiply
    2,010.02x = 2,774.83 × 1,264.39
  4. Step 4: Simplify right side
    2,010.02x = 3,508,467.30
  5. Step 5: Solve for x
    x = 3,508,467.30/2,010.02
  6. Step 6: Final answer
    x = 1,745.49

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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.