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Finding the Fourth Proportional to 1,582.80, 2,181.12 and 1,189.44

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Solution

The fourth proportional to 1,582.80, 2,181.12 and 1,189.44 is: 1,639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.80 : 2,181.12 = 1,189.44 : x
  2. Step 2: Convert to fraction form
    1,582.80/2,181.12 = 1,189.44/x
  3. Step 3: Cross multiply
    1,582.80x = 2,181.12 × 1,189.44
  4. Step 4: Simplify right side
    1,582.80x = 2,594,311.37
  5. Step 5: Solve for x
    x = 2,594,311.37/1,582.80
  6. Step 6: Final answer
    x = 1,639.06

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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.