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Finding the Fourth Proportional to 1,825.82, 2,517.12 and 1,377.49

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Solution

The fourth proportional to 1,825.82, 2,517.12 and 1,377.49 is: 1,899.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.82 : 2,517.12 = 1,377.49 : x
  2. Step 2: Convert to fraction form
    1,825.82/2,517.12 = 1,377.49/x
  3. Step 3: Cross multiply
    1,825.82x = 2,517.12 × 1,377.49
  4. Step 4: Simplify right side
    1,825.82x = 3,467,307.63
  5. Step 5: Solve for x
    x = 3,467,307.63/1,825.82
  6. Step 6: Final answer
    x = 1,899.04

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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.