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Finding the Fourth Proportional to 2,185.32, 3,276.77 and 1,145.82

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Solution

The fourth proportional to 2,185.32, 3,276.77 and 1,145.82 is: 1,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.32 : 3,276.77 = 1,145.82 : x
  2. Step 2: Convert to fraction form
    2,185.32/3,276.77 = 1,145.82/x
  3. Step 3: Cross multiply
    2,185.32x = 3,276.77 × 1,145.82
  4. Step 4: Simplify right side
    2,185.32x = 3,754,582.87
  5. Step 5: Solve for x
    x = 3,754,582.87/2,185.32
  6. Step 6: Final answer
    x = 1,718.09

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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.