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Finding the Fourth Proportional to 1,890.36, 2,838.15 and 966.63

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Solution

The fourth proportional to 1,890.36, 2,838.15 and 966.63 is: 1,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.36 : 2,838.15 = 966.63 : x
  2. Step 2: Convert to fraction form
    1,890.36/2,838.15 = 966.63/x
  3. Step 3: Cross multiply
    1,890.36x = 2,838.15 × 966.63
  4. Step 4: Simplify right side
    1,890.36x = 2,743,440.93
  5. Step 5: Solve for x
    x = 2,743,440.93/1,890.36
  6. Step 6: Final answer
    x = 1,451.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.