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Finding the Fourth Proportional to 1,714.47, 2,568.11 and 1,421.27

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Solution

The fourth proportional to 1,714.47, 2,568.11 and 1,421.27 is: 2,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.47 : 2,568.11 = 1,421.27 : x
  2. Step 2: Convert to fraction form
    1,714.47/2,568.11 = 1,421.27/x
  3. Step 3: Cross multiply
    1,714.47x = 2,568.11 × 1,421.27
  4. Step 4: Simplify right side
    1,714.47x = 3,649,987.67
  5. Step 5: Solve for x
    x = 3,649,987.67/1,714.47
  6. Step 6: Final answer
    x = 2,128.93

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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.