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Finding the Fourth Proportional to 1,601.53, 2,210.15 and 938.41

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Solution

The fourth proportional to 1,601.53, 2,210.15 and 938.41 is: 1,295.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.53 : 2,210.15 = 938.41 : x
  2. Step 2: Convert to fraction form
    1,601.53/2,210.15 = 938.41/x
  3. Step 3: Cross multiply
    1,601.53x = 2,210.15 × 938.41
  4. Step 4: Simplify right side
    1,601.53x = 2,074,023.68
  5. Step 5: Solve for x
    x = 2,074,023.68/1,601.53
  6. Step 6: Final answer
    x = 1,295.03

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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.