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Finding the Fourth Proportional to 1,832.66, 2,528.50 and 1,123.78

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Solution

The fourth proportional to 1,832.66, 2,528.50 and 1,123.78 is: 1,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.66 : 2,528.50 = 1,123.78 : x
  2. Step 2: Convert to fraction form
    1,832.66/2,528.50 = 1,123.78/x
  3. Step 3: Cross multiply
    1,832.66x = 2,528.50 × 1,123.78
  4. Step 4: Simplify right side
    1,832.66x = 2,841,477.73
  5. Step 5: Solve for x
    x = 2,841,477.73/1,832.66
  6. Step 6: Final answer
    x = 1,550.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.