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Finding the Fourth Proportional to 1,570.88, 2,167.45 and 941.29

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Solution

The fourth proportional to 1,570.88, 2,167.45 and 941.29 is: 1,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.88 : 2,167.45 = 941.29 : x
  2. Step 2: Convert to fraction form
    1,570.88/2,167.45 = 941.29/x
  3. Step 3: Cross multiply
    1,570.88x = 2,167.45 × 941.29
  4. Step 4: Simplify right side
    1,570.88x = 2,040,183.47
  5. Step 5: Solve for x
    x = 2,040,183.47/1,570.88
  6. Step 6: Final answer
    x = 1,298.76

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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.