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Finding the Fourth Proportional to 2,382.36, 3,567.35 and 1,644.25

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Solution

The fourth proportional to 2,382.36, 3,567.35 and 1,644.25 is: 2,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.36 : 3,567.35 = 1,644.25 : x
  2. Step 2: Convert to fraction form
    2,382.36/3,567.35 = 1,644.25/x
  3. Step 3: Cross multiply
    2,382.36x = 3,567.35 × 1,644.25
  4. Step 4: Simplify right side
    2,382.36x = 5,865,615.24
  5. Step 5: Solve for x
    x = 5,865,615.24/2,382.36
  6. Step 6: Final answer
    x = 2,462.10

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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.