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Finding the Fourth Proportional to 2,857.19, 4,282.25 and 1,686

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Solution

The fourth proportional to 2,857.19, 4,282.25 and 1,686 is: 2,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.19 : 4,282.25 = 1,686 : x
  2. Step 2: Convert to fraction form
    2,857.19/4,282.25 = 1,686/x
  3. Step 3: Cross multiply
    2,857.19x = 4,282.25 × 1,686
  4. Step 4: Simplify right side
    2,857.19x = 7,219,865.07
  5. Step 5: Solve for x
    x = 7,219,865.07/2,857.19
  6. Step 6: Final answer
    x = 2,526.92

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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.