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Finding the Fourth Proportional to 2,536.09, 3,801.54 and 1,714.44

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Solution

The fourth proportional to 2,536.09, 3,801.54 and 1,714.44 is: 2,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.09 : 3,801.54 = 1,714.44 : x
  2. Step 2: Convert to fraction form
    2,536.09/3,801.54 = 1,714.44/x
  3. Step 3: Cross multiply
    2,536.09x = 3,801.54 × 1,714.44
  4. Step 4: Simplify right side
    2,536.09x = 6,517,532.92
  5. Step 5: Solve for x
    x = 6,517,532.92/2,536.09
  6. Step 6: Final answer
    x = 2,569.92

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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.