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Finding the Fourth Proportional to 2,552.61, 3,825.83 and 1,811.06

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Solution

The fourth proportional to 2,552.61, 3,825.83 and 1,811.06 is: 2,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.61 : 3,825.83 = 1,811.06 : x
  2. Step 2: Convert to fraction form
    2,552.61/3,825.83 = 1,811.06/x
  3. Step 3: Cross multiply
    2,552.61x = 3,825.83 × 1,811.06
  4. Step 4: Simplify right side
    2,552.61x = 6,928,807.43
  5. Step 5: Solve for x
    x = 6,928,807.43/2,552.61
  6. Step 6: Final answer
    x = 2,714.40

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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.