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Finding the Fourth Proportional to 1,602.82, 2,211.37 and 894.55

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Solution

The fourth proportional to 1,602.82, 2,211.37 and 894.55 is: 1,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.82 : 2,211.37 = 894.55 : x
  2. Step 2: Convert to fraction form
    1,602.82/2,211.37 = 894.55/x
  3. Step 3: Cross multiply
    1,602.82x = 2,211.37 × 894.55
  4. Step 4: Simplify right side
    1,602.82x = 1,978,182.45
  5. Step 5: Solve for x
    x = 1,978,182.45/1,602.82
  6. Step 6: Final answer
    x = 1,234.19

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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.