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Finding the Fourth Proportional to 2,857.95, 4,284.63 and 1,687.89

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Solution

The fourth proportional to 2,857.95, 4,284.63 and 1,687.89 is: 2,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.95 : 4,284.63 = 1,687.89 : x
  2. Step 2: Convert to fraction form
    2,857.95/4,284.63 = 1,687.89/x
  3. Step 3: Cross multiply
    2,857.95x = 4,284.63 × 1,687.89
  4. Step 4: Simplify right side
    2,857.95x = 7,231,984.13
  5. Step 5: Solve for x
    x = 7,231,984.13/2,857.95
  6. Step 6: Final answer
    x = 2,530.48

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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.