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Finding the Fourth Proportional to 3,102.76, 4,281.74 and 1,686.41

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Solution

The fourth proportional to 3,102.76, 4,281.74 and 1,686.41 is: 2,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.76 : 4,281.74 = 1,686.41 : x
  2. Step 2: Convert to fraction form
    3,102.76/4,281.74 = 1,686.41/x
  3. Step 3: Cross multiply
    3,102.76x = 4,281.74 × 1,686.41
  4. Step 4: Simplify right side
    3,102.76x = 7,220,769.15
  5. Step 5: Solve for x
    x = 7,220,769.15/3,102.76
  6. Step 6: Final answer
    x = 2,327.21

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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.