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Finding the Fourth Proportional to 1,714.01, 2,568.44 and 1,323.42

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Solution

The fourth proportional to 1,714.01, 2,568.44 and 1,323.42 is: 1,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.01 : 2,568.44 = 1,323.42 : x
  2. Step 2: Convert to fraction form
    1,714.01/2,568.44 = 1,323.42/x
  3. Step 3: Cross multiply
    1,714.01x = 2,568.44 × 1,323.42
  4. Step 4: Simplify right side
    1,714.01x = 3,399,124.86
  5. Step 5: Solve for x
    x = 3,399,124.86/1,714.01
  6. Step 6: Final answer
    x = 1,983.14

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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.