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Finding the Fourth Proportional to 3,129.26, 4,695.70 and 1,668.40

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Solution

The fourth proportional to 3,129.26, 4,695.70 and 1,668.40 is: 2,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.26 : 4,695.70 = 1,668.40 : x
  2. Step 2: Convert to fraction form
    3,129.26/4,695.70 = 1,668.40/x
  3. Step 3: Cross multiply
    3,129.26x = 4,695.70 × 1,668.40
  4. Step 4: Simplify right side
    3,129.26x = 7,834,305.88
  5. Step 5: Solve for x
    x = 7,834,305.88/3,129.26
  6. Step 6: Final answer
    x = 2,503.57

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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.