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Finding the Fourth Proportional to 3,116.75, 4,677.15 and 1,577.75

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Solution

The fourth proportional to 3,116.75, 4,677.15 and 1,577.75 is: 2,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.75 : 4,677.15 = 1,577.75 : x
  2. Step 2: Convert to fraction form
    3,116.75/4,677.15 = 1,577.75/x
  3. Step 3: Cross multiply
    3,116.75x = 4,677.15 × 1,577.75
  4. Step 4: Simplify right side
    3,116.75x = 7,379,373.41
  5. Step 5: Solve for x
    x = 7,379,373.41/3,116.75
  6. Step 6: Final answer
    x = 2,367.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.