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Finding the Fourth Proportional to 1,960.16, 2,704.52 and 1,174

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Solution

The fourth proportional to 1,960.16, 2,704.52 and 1,174 is: 1,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.16 : 2,704.52 = 1,174 : x
  2. Step 2: Convert to fraction form
    1,960.16/2,704.52 = 1,174/x
  3. Step 3: Cross multiply
    1,960.16x = 2,704.52 × 1,174
  4. Step 4: Simplify right side
    1,960.16x = 3,175,106.48
  5. Step 5: Solve for x
    x = 3,175,106.48/1,960.16
  6. Step 6: Final answer
    x = 1,619.82

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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.