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Finding the Fourth Proportional to 4,102.53, 6,152.90 and 1,180.20

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Solution

The fourth proportional to 4,102.53, 6,152.90 and 1,180.20 is: 1,770.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.53 : 6,152.90 = 1,180.20 : x
  2. Step 2: Convert to fraction form
    4,102.53/6,152.90 = 1,180.20/x
  3. Step 3: Cross multiply
    4,102.53x = 6,152.90 × 1,180.20
  4. Step 4: Simplify right side
    4,102.53x = 7,261,646.68
  5. Step 5: Solve for x
    x = 7,261,646.68/4,102.53
  6. Step 6: Final answer
    x = 1,770.04

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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.