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Finding the Fourth Proportional to 2,175.42, 3,002.76 and 1,389.33

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Solution

The fourth proportional to 2,175.42, 3,002.76 and 1,389.33 is: 1,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.42 : 3,002.76 = 1,389.33 : x
  2. Step 2: Convert to fraction form
    2,175.42/3,002.76 = 1,389.33/x
  3. Step 3: Cross multiply
    2,175.42x = 3,002.76 × 1,389.33
  4. Step 4: Simplify right side
    2,175.42x = 4,171,824.55
  5. Step 5: Solve for x
    x = 4,171,824.55/2,175.42
  6. Step 6: Final answer
    x = 1,917.71

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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.