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Finding the Fourth Proportional to 2,123.61, 3,171.72 and 1,832.01

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Solution

The fourth proportional to 2,123.61, 3,171.72 and 1,832.01 is: 2,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.61 : 3,171.72 = 1,832.01 : x
  2. Step 2: Convert to fraction form
    2,123.61/3,171.72 = 1,832.01/x
  3. Step 3: Cross multiply
    2,123.61x = 3,171.72 × 1,832.01
  4. Step 4: Simplify right side
    2,123.61x = 5,810,622.76
  5. Step 5: Solve for x
    x = 5,810,622.76/2,123.61
  6. Step 6: Final answer
    x = 2,736.20

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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.