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Finding the Fourth Proportional to 1,960, 2,704.80 and 1,132.16

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Solution

The fourth proportional to 1,960, 2,704.80 and 1,132.16 is: 1,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960 : 2,704.80 = 1,132.16 : x
  2. Step 2: Convert to fraction form
    1,960/2,704.80 = 1,132.16/x
  3. Step 3: Cross multiply
    1,960x = 2,704.80 × 1,132.16
  4. Step 4: Simplify right side
    1,960x = 3,062,266.37
  5. Step 5: Solve for x
    x = 3,062,266.37/1,960
  6. Step 6: Final answer
    x = 1,562.38

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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.