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Finding the Fourth Proportional to 1,714.72, 2,568.49 and 1,421.53

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Solution

The fourth proportional to 1,714.72, 2,568.49 and 1,421.53 is: 2,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.72 : 2,568.49 = 1,421.53 : x
  2. Step 2: Convert to fraction form
    1,714.72/2,568.49 = 1,421.53/x
  3. Step 3: Cross multiply
    1,714.72x = 2,568.49 × 1,421.53
  4. Step 4: Simplify right side
    1,714.72x = 3,651,172.75
  5. Step 5: Solve for x
    x = 3,651,172.75/1,714.72
  6. Step 6: Final answer
    x = 2,129.31

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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.