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Finding the Fourth Proportional to 2,832.98, 3,911.06 and 1,714.21

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Solution

The fourth proportional to 2,832.98, 3,911.06 and 1,714.21 is: 2,366.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.98 : 3,911.06 = 1,714.21 : x
  2. Step 2: Convert to fraction form
    2,832.98/3,911.06 = 1,714.21/x
  3. Step 3: Cross multiply
    2,832.98x = 3,911.06 × 1,714.21
  4. Step 4: Simplify right side
    2,832.98x = 6,704,372.67
  5. Step 5: Solve for x
    x = 6,704,372.67/2,832.98
  6. Step 6: Final answer
    x = 2,366.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.