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Finding the Fourth Proportional to 1,820.34, 2,512.26 and 1,034.46

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Solution

The fourth proportional to 1,820.34, 2,512.26 and 1,034.46 is: 1,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.34 : 2,512.26 = 1,034.46 : x
  2. Step 2: Convert to fraction form
    1,820.34/2,512.26 = 1,034.46/x
  3. Step 3: Cross multiply
    1,820.34x = 2,512.26 × 1,034.46
  4. Step 4: Simplify right side
    1,820.34x = 2,598,832.48
  5. Step 5: Solve for x
    x = 2,598,832.48/1,820.34
  6. Step 6: Final answer
    x = 1,427.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.