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Finding the Fourth Proportional to 3,164.82, 4,743.72 and 1,314.96

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Solution

The fourth proportional to 3,164.82, 4,743.72 and 1,314.96 is: 1,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.82 : 4,743.72 = 1,314.96 : x
  2. Step 2: Convert to fraction form
    3,164.82/4,743.72 = 1,314.96/x
  3. Step 3: Cross multiply
    3,164.82x = 4,743.72 × 1,314.96
  4. Step 4: Simplify right side
    3,164.82x = 6,237,802.05
  5. Step 5: Solve for x
    x = 6,237,802.05/3,164.82
  6. Step 6: Final answer
    x = 1,970.98

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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.