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Finding the Fourth Proportional to 1,602.83, 2,211.76 and 894.62

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Solution

The fourth proportional to 1,602.83, 2,211.76 and 894.62 is: 1,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.83 : 2,211.76 = 894.62 : x
  2. Step 2: Convert to fraction form
    1,602.83/2,211.76 = 894.62/x
  3. Step 3: Cross multiply
    1,602.83x = 2,211.76 × 894.62
  4. Step 4: Simplify right side
    1,602.83x = 1,978,684.73
  5. Step 5: Solve for x
    x = 1,978,684.73/1,602.83
  6. Step 6: Final answer
    x = 1,234.49

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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.