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Finding the Fourth Proportional to 3,416.44, 4,713.87 and 1,924.06

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Solution

The fourth proportional to 3,416.44, 4,713.87 and 1,924.06 is: 2,654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.44 : 4,713.87 = 1,924.06 : x
  2. Step 2: Convert to fraction form
    3,416.44/4,713.87 = 1,924.06/x
  3. Step 3: Cross multiply
    3,416.44x = 4,713.87 × 1,924.06
  4. Step 4: Simplify right side
    3,416.44x = 9,069,761.74
  5. Step 5: Solve for x
    x = 9,069,761.74/3,416.44
  6. Step 6: Final answer
    x = 2,654.74

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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.