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Finding the Fourth Proportional to 1,935.84, 2,672.02 and 1,150.34

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Solution

The fourth proportional to 1,935.84, 2,672.02 and 1,150.34 is: 1,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.84 : 2,672.02 = 1,150.34 : x
  2. Step 2: Convert to fraction form
    1,935.84/2,672.02 = 1,150.34/x
  3. Step 3: Cross multiply
    1,935.84x = 2,672.02 × 1,150.34
  4. Step 4: Simplify right side
    1,935.84x = 3,073,731.49
  5. Step 5: Solve for x
    x = 3,073,731.49/1,935.84
  6. Step 6: Final answer
    x = 1,587.80

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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.