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Finding the Fourth Proportional to 2,514.63, 3,771 and 870.78

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Solution

The fourth proportional to 2,514.63, 3,771 and 870.78 is: 1,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.63 : 3,771 = 870.78 : x
  2. Step 2: Convert to fraction form
    2,514.63/3,771 = 870.78/x
  3. Step 3: Cross multiply
    2,514.63x = 3,771 × 870.78
  4. Step 4: Simplify right side
    2,514.63x = 3,283,711.38
  5. Step 5: Solve for x
    x = 3,283,711.38/2,514.63
  6. Step 6: Final answer
    x = 1,305.84

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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.