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Finding the Fourth Proportional to 1,909.56, 2,635.06 and 1,123.44

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Solution

The fourth proportional to 1,909.56, 2,635.06 and 1,123.44 is: 1,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.56 : 2,635.06 = 1,123.44 : x
  2. Step 2: Convert to fraction form
    1,909.56/2,635.06 = 1,123.44/x
  3. Step 3: Cross multiply
    1,909.56x = 2,635.06 × 1,123.44
  4. Step 4: Simplify right side
    1,909.56x = 2,960,331.81
  5. Step 5: Solve for x
    x = 2,960,331.81/1,909.56
  6. Step 6: Final answer
    x = 1,550.27

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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.