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Finding the Fourth Proportional to 1,770.72, 2,643.12 and 1,642.22

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Solution

The fourth proportional to 1,770.72, 2,643.12 and 1,642.22 is: 2,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.72 : 2,643.12 = 1,642.22 : x
  2. Step 2: Convert to fraction form
    1,770.72/2,643.12 = 1,642.22/x
  3. Step 3: Cross multiply
    1,770.72x = 2,643.12 × 1,642.22
  4. Step 4: Simplify right side
    1,770.72x = 4,340,584.53
  5. Step 5: Solve for x
    x = 4,340,584.53/1,770.72
  6. Step 6: Final answer
    x = 2,451.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.