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Finding the Fourth Proportional to 3,111.62, 4,668.70 and 1,356.88

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Solution

The fourth proportional to 3,111.62, 4,668.70 and 1,356.88 is: 2,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.62 : 4,668.70 = 1,356.88 : x
  2. Step 2: Convert to fraction form
    3,111.62/4,668.70 = 1,356.88/x
  3. Step 3: Cross multiply
    3,111.62x = 4,668.70 × 1,356.88
  4. Step 4: Simplify right side
    3,111.62x = 6,334,865.66
  5. Step 5: Solve for x
    x = 6,334,865.66/3,111.62
  6. Step 6: Final answer
    x = 2,035.87

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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.