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Finding the Fourth Proportional to 2,880.22, 3,975.04 and 1,761.31

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Solution

The fourth proportional to 2,880.22, 3,975.04 and 1,761.31 is: 2,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.22 : 3,975.04 = 1,761.31 : x
  2. Step 2: Convert to fraction form
    2,880.22/3,975.04 = 1,761.31/x
  3. Step 3: Cross multiply
    2,880.22x = 3,975.04 × 1,761.31
  4. Step 4: Simplify right side
    2,880.22x = 7,001,284.87
  5. Step 5: Solve for x
    x = 7,001,284.87/2,880.22
  6. Step 6: Final answer
    x = 2,430.82

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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.