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Finding the Fourth Proportional to 2,880.75, 3,977.43 and 1,887.42

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Solution

The fourth proportional to 2,880.75, 3,977.43 and 1,887.42 is: 2,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.75 : 3,977.43 = 1,887.42 : x
  2. Step 2: Convert to fraction form
    2,880.75/3,977.43 = 1,887.42/x
  3. Step 3: Cross multiply
    2,880.75x = 3,977.43 × 1,887.42
  4. Step 4: Simplify right side
    2,880.75x = 7,507,080.93
  5. Step 5: Solve for x
    x = 7,507,080.93/2,880.75
  6. Step 6: Final answer
    x = 2,605.95

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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.