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Finding the Fourth Proportional to 3,012.98, 4,157.86 and 1,686.80

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Solution

The fourth proportional to 3,012.98, 4,157.86 and 1,686.80 is: 2,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.98 : 4,157.86 = 1,686.80 : x
  2. Step 2: Convert to fraction form
    3,012.98/4,157.86 = 1,686.80/x
  3. Step 3: Cross multiply
    3,012.98x = 4,157.86 × 1,686.80
  4. Step 4: Simplify right side
    3,012.98x = 7,013,478.25
  5. Step 5: Solve for x
    x = 7,013,478.25/3,012.98
  6. Step 6: Final answer
    x = 2,327.75

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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.