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Finding the Fourth Proportional to 2,865.41, 3,954.50 and 1,686.71

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Solution

The fourth proportional to 2,865.41, 3,954.50 and 1,686.71 is: 2,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.41 : 3,954.50 = 1,686.71 : x
  2. Step 2: Convert to fraction form
    2,865.41/3,954.50 = 1,686.71/x
  3. Step 3: Cross multiply
    2,865.41x = 3,954.50 × 1,686.71
  4. Step 4: Simplify right side
    2,865.41x = 6,670,102.47
  5. Step 5: Solve for x
    x = 6,670,102.47/2,865.41
  6. Step 6: Final answer
    x = 2,327.80

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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.