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Finding the Fourth Proportional to 1,570.26, 2,166.96 and 871.64

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Solution

The fourth proportional to 1,570.26, 2,166.96 and 871.64 is: 1,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.26 : 2,166.96 = 871.64 : x
  2. Step 2: Convert to fraction form
    1,570.26/2,166.96 = 871.64/x
  3. Step 3: Cross multiply
    1,570.26x = 2,166.96 × 871.64
  4. Step 4: Simplify right side
    1,570.26x = 1,888,809.01
  5. Step 5: Solve for x
    x = 1,888,809.01/1,570.26
  6. Step 6: Final answer
    x = 1,202.86

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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.