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Finding the Fourth Proportional to 1,934.86, 2,668.50 and 1,188.28

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Solution

The fourth proportional to 1,934.86, 2,668.50 and 1,188.28 is: 1,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.86 : 2,668.50 = 1,188.28 : x
  2. Step 2: Convert to fraction form
    1,934.86/2,668.50 = 1,188.28/x
  3. Step 3: Cross multiply
    1,934.86x = 2,668.50 × 1,188.28
  4. Step 4: Simplify right side
    1,934.86x = 3,170,925.18
  5. Step 5: Solve for x
    x = 3,170,925.18/1,934.86
  6. Step 6: Final answer
    x = 1,638.84

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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.