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Finding the Fourth Proportional to 2,612.37, 3,932.81 and 2,382.74

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Solution

The fourth proportional to 2,612.37, 3,932.81 and 2,382.74 is: 3,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.37 : 3,932.81 = 2,382.74 : x
  2. Step 2: Convert to fraction form
    2,612.37/3,932.81 = 2,382.74/x
  3. Step 3: Cross multiply
    2,612.37x = 3,932.81 × 2,382.74
  4. Step 4: Simplify right side
    2,612.37x = 9,370,864.74
  5. Step 5: Solve for x
    x = 9,370,864.74/2,612.37
  6. Step 6: Final answer
    x = 3,587.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.