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Finding the Fourth Proportional to 2,185.86, 3,016.53 and 1,714.32

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Solution

The fourth proportional to 2,185.86, 3,016.53 and 1,714.32 is: 2,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.86 : 3,016.53 = 1,714.32 : x
  2. Step 2: Convert to fraction form
    2,185.86/3,016.53 = 1,714.32/x
  3. Step 3: Cross multiply
    2,185.86x = 3,016.53 × 1,714.32
  4. Step 4: Simplify right side
    2,185.86x = 5,171,297.71
  5. Step 5: Solve for x
    x = 5,171,297.71/2,185.86
  6. Step 6: Final answer
    x = 2,365.80

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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.