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Finding the Fourth Proportional to 1,944.62, 2,683.64 and 1,060.38

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Solution

The fourth proportional to 1,944.62, 2,683.64 and 1,060.38 is: 1,463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.62 : 2,683.64 = 1,060.38 : x
  2. Step 2: Convert to fraction form
    1,944.62/2,683.64 = 1,060.38/x
  3. Step 3: Cross multiply
    1,944.62x = 2,683.64 × 1,060.38
  4. Step 4: Simplify right side
    1,944.62x = 2,845,678.18
  5. Step 5: Solve for x
    x = 2,845,678.18/1,944.62
  6. Step 6: Final answer
    x = 1,463.36

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Why These Related Problems?

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