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Finding the Fourth Proportional to 3,102.66, 4,281.74 and 1,686.36

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Solution

The fourth proportional to 3,102.66, 4,281.74 and 1,686.36 is: 2,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.66 : 4,281.74 = 1,686.36 : x
  2. Step 2: Convert to fraction form
    3,102.66/4,281.74 = 1,686.36/x
  3. Step 3: Cross multiply
    3,102.66x = 4,281.74 × 1,686.36
  4. Step 4: Simplify right side
    3,102.66x = 7,220,546.63
  5. Step 5: Solve for x
    x = 7,220,546.63/3,102.66
  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.