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Finding the Fourth Proportional to 1,683.88, 2,323.35 and 966.14

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Solution

The fourth proportional to 1,683.88, 2,323.35 and 966.14 is: 1,333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.88 : 2,323.35 = 966.14 : x
  2. Step 2: Convert to fraction form
    1,683.88/2,323.35 = 966.14/x
  3. Step 3: Cross multiply
    1,683.88x = 2,323.35 × 966.14
  4. Step 4: Simplify right side
    1,683.88x = 2,244,669.75
  5. Step 5: Solve for x
    x = 2,244,669.75/1,683.88
  6. Step 6: Final answer
    x = 1,333.04

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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.