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Finding the Fourth Proportional to 1,820.41, 2,512.07 and 1,034.44

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Solution

The fourth proportional to 1,820.41, 2,512.07 and 1,034.44 is: 1,427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.41 : 2,512.07 = 1,034.44 : x
  2. Step 2: Convert to fraction form
    1,820.41/2,512.07 = 1,034.44/x
  3. Step 3: Cross multiply
    1,820.41x = 2,512.07 × 1,034.44
  4. Step 4: Simplify right side
    1,820.41x = 2,598,585.69
  5. Step 5: Solve for x
    x = 2,598,585.69/1,820.41
  6. Step 6: Final answer
    x = 1,427.47

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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.