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Finding the Fourth Proportional to 1,622.80, 2,239.24 and 914.55

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Solution

The fourth proportional to 1,622.80, 2,239.24 and 914.55 is: 1,261.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.80 : 2,239.24 = 914.55 : x
  2. Step 2: Convert to fraction form
    1,622.80/2,239.24 = 914.55/x
  3. Step 3: Cross multiply
    1,622.80x = 2,239.24 × 914.55
  4. Step 4: Simplify right side
    1,622.80x = 2,047,896.94
  5. Step 5: Solve for x
    x = 2,047,896.94/1,622.80
  6. Step 6: Final answer
    x = 1,261.95

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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.