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Finding the Fourth Proportional to 1,328.16, 1,990.69 and 1,174.38

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Solution

The fourth proportional to 1,328.16, 1,990.69 and 1,174.38 is: 1,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.16 : 1,990.69 = 1,174.38 : x
  2. Step 2: Convert to fraction form
    1,328.16/1,990.69 = 1,174.38/x
  3. Step 3: Cross multiply
    1,328.16x = 1,990.69 × 1,174.38
  4. Step 4: Simplify right side
    1,328.16x = 2,337,833.92
  5. Step 5: Solve for x
    x = 2,337,833.92/1,328.16
  6. Step 6: Final answer
    x = 1,760.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.