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Finding the Fourth Proportional to 1,962.51, 2,708.38 and 1,123.48

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Solution

The fourth proportional to 1,962.51, 2,708.38 and 1,123.48 is: 1,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.51 : 2,708.38 = 1,123.48 : x
  2. Step 2: Convert to fraction form
    1,962.51/2,708.38 = 1,123.48/x
  3. Step 3: Cross multiply
    1,962.51x = 2,708.38 × 1,123.48
  4. Step 4: Simplify right side
    1,962.51x = 3,042,791.60
  5. Step 5: Solve for x
    x = 3,042,791.60/1,962.51
  6. Step 6: Final answer
    x = 1,550.46

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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.