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Finding the Fourth Proportional to 4,101.63, 6,152.64 and 1,180.16

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Solution

The fourth proportional to 4,101.63, 6,152.64 and 1,180.16 is: 1,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.63 : 6,152.64 = 1,180.16 : x
  2. Step 2: Convert to fraction form
    4,101.63/6,152.64 = 1,180.16/x
  3. Step 3: Cross multiply
    4,101.63x = 6,152.64 × 1,180.16
  4. Step 4: Simplify right side
    4,101.63x = 7,261,099.62
  5. Step 5: Solve for x
    x = 7,261,099.62/4,101.63
  6. Step 6: Final answer
    x = 1,770.30

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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.