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Finding the Fourth Proportional to 1,820.48, 2,512.10 and 1,034.38

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Solution

The fourth proportional to 1,820.48, 2,512.10 and 1,034.38 is: 1,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.48 : 2,512.10 = 1,034.38 : x
  2. Step 2: Convert to fraction form
    1,820.48/2,512.10 = 1,034.38/x
  3. Step 3: Cross multiply
    1,820.48x = 2,512.10 × 1,034.38
  4. Step 4: Simplify right side
    1,820.48x = 2,598,448.27
  5. Step 5: Solve for x
    x = 2,598,448.27/1,820.48
  6. Step 6: Final answer
    x = 1,427.34

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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.