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Finding the Fourth Proportional to 1,611.63, 2,223.32 and 1,330.83

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Solution

The fourth proportional to 1,611.63, 2,223.32 and 1,330.83 is: 1,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.63 : 2,223.32 = 1,330.83 : x
  2. Step 2: Convert to fraction form
    1,611.63/2,223.32 = 1,330.83/x
  3. Step 3: Cross multiply
    1,611.63x = 2,223.32 × 1,330.83
  4. Step 4: Simplify right side
    1,611.63x = 2,958,854.30
  5. Step 5: Solve for x
    x = 2,958,854.30/1,611.63
  6. Step 6: Final answer
    x = 1,835.94

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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.