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Finding the Fourth Proportional to 2,832.53, 4,248.79 and 1,188.63

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Solution

The fourth proportional to 2,832.53, 4,248.79 and 1,188.63 is: 1,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.53 : 4,248.79 = 1,188.63 : x
  2. Step 2: Convert to fraction form
    2,832.53/4,248.79 = 1,188.63/x
  3. Step 3: Cross multiply
    2,832.53x = 4,248.79 × 1,188.63
  4. Step 4: Simplify right side
    2,832.53x = 5,050,236.29
  5. Step 5: Solve for x
    x = 5,050,236.29/2,832.53
  6. Step 6: Final answer
    x = 1,782.95

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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.