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Finding the Fourth Proportional to 2,382.72, 3,288.64 and 1,596.16

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Solution

The fourth proportional to 2,382.72, 3,288.64 and 1,596.16 is: 2,203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.72 : 3,288.64 = 1,596.16 : x
  2. Step 2: Convert to fraction form
    2,382.72/3,288.64 = 1,596.16/x
  3. Step 3: Cross multiply
    2,382.72x = 3,288.64 × 1,596.16
  4. Step 4: Simplify right side
    2,382.72x = 5,249,195.62
  5. Step 5: Solve for x
    x = 5,249,195.62/2,382.72
  6. Step 6: Final answer
    x = 2,203.03

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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.