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Finding the Fourth Proportional to 1,232.52, 1,841.57 and 1,189.47

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Solution

The fourth proportional to 1,232.52, 1,841.57 and 1,189.47 is: 1,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.52 : 1,841.57 = 1,189.47 : x
  2. Step 2: Convert to fraction form
    1,232.52/1,841.57 = 1,189.47/x
  3. Step 3: Cross multiply
    1,232.52x = 1,841.57 × 1,189.47
  4. Step 4: Simplify right side
    1,232.52x = 2,190,492.27
  5. Step 5: Solve for x
    x = 2,190,492.27/1,232.52
  6. Step 6: Final answer
    x = 1,777.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.