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Finding the Fourth Proportional to 3,180.81, 4,389.43 and 1,764.47

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Solution

The fourth proportional to 3,180.81, 4,389.43 and 1,764.47 is: 2,434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.81 : 4,389.43 = 1,764.47 : x
  2. Step 2: Convert to fraction form
    3,180.81/4,389.43 = 1,764.47/x
  3. Step 3: Cross multiply
    3,180.81x = 4,389.43 × 1,764.47
  4. Step 4: Simplify right side
    3,180.81x = 7,745,017.55
  5. Step 5: Solve for x
    x = 7,745,017.55/3,180.81
  6. Step 6: Final answer
    x = 2,434.92

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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.