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Finding the Fourth Proportional to 1,340.82, 1,849.22 and 1,010.28

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Solution

The fourth proportional to 1,340.82, 1,849.22 and 1,010.28 is: 1,393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.82 : 1,849.22 = 1,010.28 : x
  2. Step 2: Convert to fraction form
    1,340.82/1,849.22 = 1,010.28/x
  3. Step 3: Cross multiply
    1,340.82x = 1,849.22 × 1,010.28
  4. Step 4: Simplify right side
    1,340.82x = 1,868,229.98
  5. Step 5: Solve for x
    x = 1,868,229.98/1,340.82
  6. Step 6: Final answer
    x = 1,393.35

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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.