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Finding the Fourth Proportional to 3,101.41, 4,649.01 and 1,714.42

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Solution

The fourth proportional to 3,101.41, 4,649.01 and 1,714.42 is: 2,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.41 : 4,649.01 = 1,714.42 : x
  2. Step 2: Convert to fraction form
    3,101.41/4,649.01 = 1,714.42/x
  3. Step 3: Cross multiply
    3,101.41x = 4,649.01 × 1,714.42
  4. Step 4: Simplify right side
    3,101.41x = 7,970,355.72
  5. Step 5: Solve for x
    x = 7,970,355.72/3,101.41
  6. Step 6: Final answer
    x = 2,569.91

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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.