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Finding the Fourth Proportional to 2,714.40, 4,072.80 and 1,252.80

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Solution

The fourth proportional to 2,714.40, 4,072.80 and 1,252.80 is: 1,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.40 : 4,072.80 = 1,252.80 : x
  2. Step 2: Convert to fraction form
    2,714.40/4,072.80 = 1,252.80/x
  3. Step 3: Cross multiply
    2,714.40x = 4,072.80 × 1,252.80
  4. Step 4: Simplify right side
    2,714.40x = 5,102,403.84
  5. Step 5: Solve for x
    x = 5,102,403.84/2,714.40
  6. Step 6: Final answer
    x = 1,879.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.