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Finding the Fourth Proportional to 4,415.81, 6,622.25 and 1,782.64

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Solution

The fourth proportional to 4,415.81, 6,622.25 and 1,782.64 is: 2,673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415.81 : 6,622.25 = 1,782.64 : x
  2. Step 2: Convert to fraction form
    4,415.81/6,622.25 = 1,782.64/x
  3. Step 3: Cross multiply
    4,415.81x = 6,622.25 × 1,782.64
  4. Step 4: Simplify right side
    4,415.81x = 11,805,059.09
  5. Step 5: Solve for x
    x = 11,805,059.09/4,415.81
  6. Step 6: Final answer
    x = 2,673.36

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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.