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Finding the Fourth Proportional to 1,769.05, 2,441.08 and 1,051.12

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Solution

The fourth proportional to 1,769.05, 2,441.08 and 1,051.12 is: 1,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.05 : 2,441.08 = 1,051.12 : x
  2. Step 2: Convert to fraction form
    1,769.05/2,441.08 = 1,051.12/x
  3. Step 3: Cross multiply
    1,769.05x = 2,441.08 × 1,051.12
  4. Step 4: Simplify right side
    1,769.05x = 2,565,868.01
  5. Step 5: Solve for x
    x = 2,565,868.01/1,769.05
  6. Step 6: Final answer
    x = 1,450.42

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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.