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Finding the Fourth Proportional to 3,111.69, 4,668.95 and 1,164.05

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Solution

The fourth proportional to 3,111.69, 4,668.95 and 1,164.05 is: 1,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.69 : 4,668.95 = 1,164.05 : x
  2. Step 2: Convert to fraction form
    3,111.69/4,668.95 = 1,164.05/x
  3. Step 3: Cross multiply
    3,111.69x = 4,668.95 × 1,164.05
  4. Step 4: Simplify right side
    3,111.69x = 5,434,891.25
  5. Step 5: Solve for x
    x = 5,434,891.25/3,111.69
  6. Step 6: Final answer
    x = 1,746.60

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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.