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Finding the Fourth Proportional to 1,732.40, 2,391.46 and 1,174.49

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Solution

The fourth proportional to 1,732.40, 2,391.46 and 1,174.49 is: 1,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.40 : 2,391.46 = 1,174.49 : x
  2. Step 2: Convert to fraction form
    1,732.40/2,391.46 = 1,174.49/x
  3. Step 3: Cross multiply
    1,732.40x = 2,391.46 × 1,174.49
  4. Step 4: Simplify right side
    1,732.40x = 2,808,741.52
  5. Step 5: Solve for x
    x = 2,808,741.52/1,732.40
  6. Step 6: Final answer
    x = 1,621.30

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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.