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Finding the Fourth Proportional to 1,750.82, 2,411.79 and 1,418.33

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Solution

The fourth proportional to 1,750.82, 2,411.79 and 1,418.33 is: 1,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.82 : 2,411.79 = 1,418.33 : x
  2. Step 2: Convert to fraction form
    1,750.82/2,411.79 = 1,418.33/x
  3. Step 3: Cross multiply
    1,750.82x = 2,411.79 × 1,418.33
  4. Step 4: Simplify right side
    1,750.82x = 3,420,714.11
  5. Step 5: Solve for x
    x = 3,420,714.11/1,750.82
  6. Step 6: Final answer
    x = 1,953.78

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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.