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Finding the Fourth Proportional to 3,116.91, 4,674.45 and 1,168.67

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Solution

The fourth proportional to 3,116.91, 4,674.45 and 1,168.67 is: 1,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.91 : 4,674.45 = 1,168.67 : x
  2. Step 2: Convert to fraction form
    3,116.91/4,674.45 = 1,168.67/x
  3. Step 3: Cross multiply
    3,116.91x = 4,674.45 × 1,168.67
  4. Step 4: Simplify right side
    3,116.91x = 5,462,866.11
  5. Step 5: Solve for x
    x = 5,462,866.11/3,116.91
  6. Step 6: Final answer
    x = 1,752.65

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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.