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Finding the Fourth Proportional to 3,102.75, 4,281.77 and 1,686.44

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Solution

The fourth proportional to 3,102.75, 4,281.77 and 1,686.44 is: 2,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.75 : 4,281.77 = 1,686.44 : x
  2. Step 2: Convert to fraction form
    3,102.75/4,281.77 = 1,686.44/x
  3. Step 3: Cross multiply
    3,102.75x = 4,281.77 × 1,686.44
  4. Step 4: Simplify right side
    3,102.75x = 7,220,941.71
  5. Step 5: Solve for x
    x = 7,220,941.71/3,102.75
  6. Step 6: Final answer
    x = 2,327.27

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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.