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Finding the Fourth Proportional to 2,514.34, 3,771.38 and 870.92

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Solution

The fourth proportional to 2,514.34, 3,771.38 and 870.92 is: 1,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.34 : 3,771.38 = 870.92 : x
  2. Step 2: Convert to fraction form
    2,514.34/3,771.38 = 870.92/x
  3. Step 3: Cross multiply
    2,514.34x = 3,771.38 × 870.92
  4. Step 4: Simplify right side
    2,514.34x = 3,284,570.27
  5. Step 5: Solve for x
    x = 3,284,570.27/2,514.34
  6. Step 6: Final answer
    x = 1,306.33

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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.