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Finding the Fourth Proportional to 4,102.58, 6,152.67 and 1,180.10

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Solution

The fourth proportional to 4,102.58, 6,152.67 and 1,180.10 is: 1,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.58 : 6,152.67 = 1,180.10 : x
  2. Step 2: Convert to fraction form
    4,102.58/6,152.67 = 1,180.10/x
  3. Step 3: Cross multiply
    4,102.58x = 6,152.67 × 1,180.10
  4. Step 4: Simplify right side
    4,102.58x = 7,260,765.87
  5. Step 5: Solve for x
    x = 7,260,765.87/4,102.58
  6. Step 6: Final answer
    x = 1,769.80

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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.