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Finding the Fourth Proportional to 4,159.80, 6,231.60 and 2,307.60

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Solution

The fourth proportional to 4,159.80, 6,231.60 and 2,307.60 is: 3,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.80 : 6,231.60 = 2,307.60 : x
  2. Step 2: Convert to fraction form
    4,159.80/6,231.60 = 2,307.60/x
  3. Step 3: Cross multiply
    4,159.80x = 6,231.60 × 2,307.60
  4. Step 4: Simplify right side
    4,159.80x = 14,380,040.16
  5. Step 5: Solve for x
    x = 14,380,040.16/4,159.80
  6. Step 6: Final answer
    x = 3,456.91

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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.