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Finding the Fourth Proportional to 3,180.93, 4,389.47 and 1,764.57

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Solution

The fourth proportional to 3,180.93, 4,389.47 and 1,764.57 is: 2,434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.93 : 4,389.47 = 1,764.57 : x
  2. Step 2: Convert to fraction form
    3,180.93/4,389.47 = 1,764.57/x
  3. Step 3: Cross multiply
    3,180.93x = 4,389.47 × 1,764.57
  4. Step 4: Simplify right side
    3,180.93x = 7,745,513.59
  5. Step 5: Solve for x
    x = 7,745,513.59/3,180.93
  6. Step 6: Final answer
    x = 2,434.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.