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Finding the Fourth Proportional to 3,102.94, 4,282.09 and 1,686.65

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Solution

The fourth proportional to 3,102.94, 4,282.09 and 1,686.65 is: 2,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.94 : 4,282.09 = 1,686.65 : x
  2. Step 2: Convert to fraction form
    3,102.94/4,282.09 = 1,686.65/x
  3. Step 3: Cross multiply
    3,102.94x = 4,282.09 × 1,686.65
  4. Step 4: Simplify right side
    3,102.94x = 7,222,387.10
  5. Step 5: Solve for x
    x = 7,222,387.10/3,102.94
  6. Step 6: Final answer
    x = 2,327.60

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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.