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Finding the Fourth Proportional to 1,583.25, 2,184.89 and 884.63

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Solution

The fourth proportional to 1,583.25, 2,184.89 and 884.63 is: 1,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.25 : 2,184.89 = 884.63 : x
  2. Step 2: Convert to fraction form
    1,583.25/2,184.89 = 884.63/x
  3. Step 3: Cross multiply
    1,583.25x = 2,184.89 × 884.63
  4. Step 4: Simplify right side
    1,583.25x = 1,932,803.89
  5. Step 5: Solve for x
    x = 1,932,803.89/1,583.25
  6. Step 6: Final answer
    x = 1,220.78

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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.