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Finding the Fourth Proportional to 1,714.88, 2,573.78 and 675.61

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Solution

The fourth proportional to 1,714.88, 2,573.78 and 675.61 is: 1,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.88 : 2,573.78 = 675.61 : x
  2. Step 2: Convert to fraction form
    1,714.88/2,573.78 = 675.61/x
  3. Step 3: Cross multiply
    1,714.88x = 2,573.78 × 675.61
  4. Step 4: Simplify right side
    1,714.88x = 1,738,861.69
  5. Step 5: Solve for x
    x = 1,738,861.69/1,714.88
  6. Step 6: Final answer
    x = 1,013.98

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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.