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Finding the Fourth Proportional to 1,298.34, 1,936.68 and 1,173.78

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Solution

The fourth proportional to 1,298.34, 1,936.68 and 1,173.78 is: 1,750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.34 : 1,936.68 = 1,173.78 : x
  2. Step 2: Convert to fraction form
    1,298.34/1,936.68 = 1,173.78/x
  3. Step 3: Cross multiply
    1,298.34x = 1,936.68 × 1,173.78
  4. Step 4: Simplify right side
    1,298.34x = 2,273,236.25
  5. Step 5: Solve for x
    x = 2,273,236.25/1,298.34
  6. Step 6: Final answer
    x = 1,750.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.