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Finding the Fourth Proportional to 1,369.16, 1,888.09 and 871.62

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Solution

The fourth proportional to 1,369.16, 1,888.09 and 871.62 is: 1,201.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.16 : 1,888.09 = 871.62 : x
  2. Step 2: Convert to fraction form
    1,369.16/1,888.09 = 871.62/x
  3. Step 3: Cross multiply
    1,369.16x = 1,888.09 × 871.62
  4. Step 4: Simplify right side
    1,369.16x = 1,645,683.21
  5. Step 5: Solve for x
    x = 1,645,683.21/1,369.16
  6. Step 6: Final answer
    x = 1,201.97

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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.