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Finding the Fourth Proportional to 3,174.40, 4,752.96 and 1,632.16

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Solution

The fourth proportional to 3,174.40, 4,752.96 and 1,632.16 is: 2,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.40 : 4,752.96 = 1,632.16 : x
  2. Step 2: Convert to fraction form
    3,174.40/4,752.96 = 1,632.16/x
  3. Step 3: Cross multiply
    3,174.40x = 4,752.96 × 1,632.16
  4. Step 4: Simplify right side
    3,174.40x = 7,757,591.19
  5. Step 5: Solve for x
    x = 7,757,591.19/3,174.40
  6. Step 6: Final answer
    x = 2,443.80

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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.