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Finding the Fourth Proportional to 2,857.75, 4,283.09 and 1,686.57

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Solution

The fourth proportional to 2,857.75, 4,283.09 and 1,686.57 is: 2,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.75 : 4,283.09 = 1,686.57 : x
  2. Step 2: Convert to fraction form
    2,857.75/4,283.09 = 1,686.57/x
  3. Step 3: Cross multiply
    2,857.75x = 4,283.09 × 1,686.57
  4. Step 4: Simplify right side
    2,857.75x = 7,223,701.25
  5. Step 5: Solve for x
    x = 7,223,701.25/2,857.75
  6. Step 6: Final answer
    x = 2,527.76

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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.