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Finding the Fourth Proportional to 3,114.33, 4,668.77 and 1,471.35

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Solution

The fourth proportional to 3,114.33, 4,668.77 and 1,471.35 is: 2,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.33 : 4,668.77 = 1,471.35 : x
  2. Step 2: Convert to fraction form
    3,114.33/4,668.77 = 1,471.35/x
  3. Step 3: Cross multiply
    3,114.33x = 4,668.77 × 1,471.35
  4. Step 4: Simplify right side
    3,114.33x = 6,869,387.38
  5. Step 5: Solve for x
    x = 6,869,387.38/3,114.33
  6. Step 6: Final answer
    x = 2,205.74

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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.