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Finding the Fourth Proportional to 1,935.97, 2,671.65 and 1,096.69

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Solution

The fourth proportional to 1,935.97, 2,671.65 and 1,096.69 is: 1,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.97 : 2,671.65 = 1,096.69 : x
  2. Step 2: Convert to fraction form
    1,935.97/2,671.65 = 1,096.69/x
  3. Step 3: Cross multiply
    1,935.97x = 2,671.65 × 1,096.69
  4. Step 4: Simplify right side
    1,935.97x = 2,929,971.84
  5. Step 5: Solve for x
    x = 2,929,971.84/1,935.97
  6. Step 6: Final answer
    x = 1,513.44

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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.