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Finding the Fourth Proportional to 3,267.53, 4,901.84 and 1,187.64

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Solution

The fourth proportional to 3,267.53, 4,901.84 and 1,187.64 is: 1,781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.53 : 4,901.84 = 1,187.64 : x
  2. Step 2: Convert to fraction form
    3,267.53/4,901.84 = 1,187.64/x
  3. Step 3: Cross multiply
    3,267.53x = 4,901.84 × 1,187.64
  4. Step 4: Simplify right side
    3,267.53x = 5,821,615.32
  5. Step 5: Solve for x
    x = 5,821,615.32/3,267.53
  6. Step 6: Final answer
    x = 1,781.66

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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.