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Finding the Fourth Proportional to 1,820.49, 2,512.27 and 1,034.53

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Solution

The fourth proportional to 1,820.49, 2,512.27 and 1,034.53 is: 1,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.49 : 2,512.27 = 1,034.53 : x
  2. Step 2: Convert to fraction form
    1,820.49/2,512.27 = 1,034.53/x
  3. Step 3: Cross multiply
    1,820.49x = 2,512.27 × 1,034.53
  4. Step 4: Simplify right side
    1,820.49x = 2,599,019.24
  5. Step 5: Solve for x
    x = 2,599,019.24/1,820.49
  6. Step 6: Final answer
    x = 1,427.65

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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.