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Finding the Fourth Proportional to 1,714.32, 2,571.46 and 1,098.30

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Solution

The fourth proportional to 1,714.32, 2,571.46 and 1,098.30 is: 1,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.32 : 2,571.46 = 1,098.30 : x
  2. Step 2: Convert to fraction form
    1,714.32/2,571.46 = 1,098.30/x
  3. Step 3: Cross multiply
    1,714.32x = 2,571.46 × 1,098.30
  4. Step 4: Simplify right side
    1,714.32x = 2,824,234.52
  5. Step 5: Solve for x
    x = 2,824,234.52/1,714.32
  6. Step 6: Final answer
    x = 1,647.44

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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.