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Finding the Fourth Proportional to 2,164.05, 3,244.93 and 1,123.01

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Solution

The fourth proportional to 2,164.05, 3,244.93 and 1,123.01 is: 1,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.05 : 3,244.93 = 1,123.01 : x
  2. Step 2: Convert to fraction form
    2,164.05/3,244.93 = 1,123.01/x
  3. Step 3: Cross multiply
    2,164.05x = 3,244.93 × 1,123.01
  4. Step 4: Simplify right side
    2,164.05x = 3,644,081.98
  5. Step 5: Solve for x
    x = 3,644,081.98/2,164.05
  6. Step 6: Final answer
    x = 1,683.91

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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.