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Finding the Fourth Proportional to 1,714.14, 2,375.46 and 1,681.32

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Solution

The fourth proportional to 1,714.14, 2,375.46 and 1,681.32 is: 2,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.14 : 2,375.46 = 1,681.32 : x
  2. Step 2: Convert to fraction form
    1,714.14/2,375.46 = 1,681.32/x
  3. Step 3: Cross multiply
    1,714.14x = 2,375.46 × 1,681.32
  4. Step 4: Simplify right side
    1,714.14x = 3,993,908.41
  5. Step 5: Solve for x
    x = 3,993,908.41/1,714.14
  6. Step 6: Final answer
    x = 2,329.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.