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Finding the Fourth Proportional to 2,121.58, 3,182.45 and 805.19

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Solution

The fourth proportional to 2,121.58, 3,182.45 and 805.19 is: 1,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.58 : 3,182.45 = 805.19 : x
  2. Step 2: Convert to fraction form
    2,121.58/3,182.45 = 805.19/x
  3. Step 3: Cross multiply
    2,121.58x = 3,182.45 × 805.19
  4. Step 4: Simplify right side
    2,121.58x = 2,562,476.92
  5. Step 5: Solve for x
    x = 2,562,476.92/2,121.58
  6. Step 6: Final answer
    x = 1,207.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.