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Finding the Fourth Proportional to 2,512.09, 3,768.14 and 1,360.09

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Solution

The fourth proportional to 2,512.09, 3,768.14 and 1,360.09 is: 2,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.09 : 3,768.14 = 1,360.09 : x
  2. Step 2: Convert to fraction form
    2,512.09/3,768.14 = 1,360.09/x
  3. Step 3: Cross multiply
    2,512.09x = 3,768.14 × 1,360.09
  4. Step 4: Simplify right side
    2,512.09x = 5,125,009.53
  5. Step 5: Solve for x
    x = 5,125,009.53/2,512.09
  6. Step 6: Final answer
    x = 2,040.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.