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Finding the Fourth Proportional to 3,106.21, 4,658.10 and 1,256.80

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Solution

The fourth proportional to 3,106.21, 4,658.10 and 1,256.80 is: 1,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.21 : 4,658.10 = 1,256.80 : x
  2. Step 2: Convert to fraction form
    3,106.21/4,658.10 = 1,256.80/x
  3. Step 3: Cross multiply
    3,106.21x = 4,658.10 × 1,256.80
  4. Step 4: Simplify right side
    3,106.21x = 5,854,300.08
  5. Step 5: Solve for x
    x = 5,854,300.08/3,106.21
  6. Step 6: Final answer
    x = 1,884.71

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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.