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Finding the Fourth Proportional to 2,878.21, 4,322.78 and 1,790.17

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Solution

The fourth proportional to 2,878.21, 4,322.78 and 1,790.17 is: 2,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.21 : 4,322.78 = 1,790.17 : x
  2. Step 2: Convert to fraction form
    2,878.21/4,322.78 = 1,790.17/x
  3. Step 3: Cross multiply
    2,878.21x = 4,322.78 × 1,790.17
  4. Step 4: Simplify right side
    2,878.21x = 7,738,511.07
  5. Step 5: Solve for x
    x = 7,738,511.07/2,878.21
  6. Step 6: Final answer
    x = 2,688.65

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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.