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Finding the Fourth Proportional to 2,174.49, 3,002.32 and 1,920.48

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Solution

The fourth proportional to 2,174.49, 3,002.32 and 1,920.48 is: 2,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.49 : 3,002.32 = 1,920.48 : x
  2. Step 2: Convert to fraction form
    2,174.49/3,002.32 = 1,920.48/x
  3. Step 3: Cross multiply
    2,174.49x = 3,002.32 × 1,920.48
  4. Step 4: Simplify right side
    2,174.49x = 5,765,875.85
  5. Step 5: Solve for x
    x = 5,765,875.85/2,174.49
  6. Step 6: Final answer
    x = 2,651.60

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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.