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Finding the Fourth Proportional to 1,933.54, 2,668.88 and 1,188.58

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Solution

The fourth proportional to 1,933.54, 2,668.88 and 1,188.58 is: 1,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.54 : 2,668.88 = 1,188.58 : x
  2. Step 2: Convert to fraction form
    1,933.54/2,668.88 = 1,188.58/x
  3. Step 3: Cross multiply
    1,933.54x = 2,668.88 × 1,188.58
  4. Step 4: Simplify right side
    1,933.54x = 3,172,158.10
  5. Step 5: Solve for x
    x = 3,172,158.10/1,933.54
  6. Step 6: Final answer
    x = 1,640.60

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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.