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Finding the Fourth Proportional to 1,962.91, 2,708.03 and 1,123.45

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Solution

The fourth proportional to 1,962.91, 2,708.03 and 1,123.45 is: 1,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.91 : 2,708.03 = 1,123.45 : x
  2. Step 2: Convert to fraction form
    1,962.91/2,708.03 = 1,123.45/x
  3. Step 3: Cross multiply
    1,962.91x = 2,708.03 × 1,123.45
  4. Step 4: Simplify right side
    1,962.91x = 3,042,336.30
  5. Step 5: Solve for x
    x = 3,042,336.30/1,962.91
  6. Step 6: Final answer
    x = 1,549.91

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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.