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Finding the Fourth Proportional to 2,880.64, 3,974.61 and 2,250.05

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Solution

The fourth proportional to 2,880.64, 3,974.61 and 2,250.05 is: 3,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.64 : 3,974.61 = 2,250.05 : x
  2. Step 2: Convert to fraction form
    2,880.64/3,974.61 = 2,250.05/x
  3. Step 3: Cross multiply
    2,880.64x = 3,974.61 × 2,250.05
  4. Step 4: Simplify right side
    2,880.64x = 8,943,077.51
  5. Step 5: Solve for x
    x = 8,943,077.51/2,880.64
  6. Step 6: Final answer
    x = 3,104.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.