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Finding the Fourth Proportional to 1,714.64, 2,571.35 and 837.14

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Solution

The fourth proportional to 1,714.64, 2,571.35 and 837.14 is: 1,255.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.64 : 2,571.35 = 837.14 : x
  2. Step 2: Convert to fraction form
    1,714.64/2,571.35 = 837.14/x
  3. Step 3: Cross multiply
    1,714.64x = 2,571.35 × 837.14
  4. Step 4: Simplify right side
    1,714.64x = 2,152,562.90
  5. Step 5: Solve for x
    x = 2,152,562.90/1,714.64
  6. Step 6: Final answer
    x = 1,255.41

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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.