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Finding the Fourth Proportional to 1,963.02, 2,709.19 and 1,123.80

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Solution

The fourth proportional to 1,963.02, 2,709.19 and 1,123.80 is: 1,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.02 : 2,709.19 = 1,123.80 : x
  2. Step 2: Convert to fraction form
    1,963.02/2,709.19 = 1,123.80/x
  3. Step 3: Cross multiply
    1,963.02x = 2,709.19 × 1,123.80
  4. Step 4: Simplify right side
    1,963.02x = 3,044,587.72
  5. Step 5: Solve for x
    x = 3,044,587.72/1,963.02
  6. Step 6: Final answer
    x = 1,550.97

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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.